Here are the cost of purchasing two different amounts of candy:
One chocolate bar and three lollipops Cost $9.75
Two chocolate bars and two lollipops Cost $9.50
Answer the following questions in complete sentences. You need to show or explain your mathematics for credit!!!!
Questions:
How much is one chocolate bar?
How much is one lollipop?
How did you find the cost of one lollipop and the cost of one chocolate bar?
One chocolate bar and three lollipops Cost $9.75
Two chocolate bars and two lollipops Cost $9.50
Answer the following questions in complete sentences. You need to show or explain your mathematics for credit!!!!
Questions:
How much is one chocolate bar?
How much is one lollipop?
How did you find the cost of one lollipop and the cost of one chocolate bar?
26 comments:
L.G
One chocolate bar costs $2.25, and one lollipop costs $2.50.
I found my answer by trying different prices for both types of candy. For one chocolate bar and three lollipops, I did 2.50x3= 7.50. 7.50+2.25=9.75. And for two chocolate bars and two lollipops, I did (2.25x2)+(2.50x2)=9.50. I tried a lot of other prices before I found those ones, though.
PR
1 chocolate bar costs 3.42 because 9.50-2.66=6.84 then divide 6.84 by 2
1 lollypop is 1.33 because, 9.75-2.43= 4.01 and 4.01/3=1.33
I divided the total by the number of items for the chocolate bar and for the lollypops I misused the chocolate from the total then divided by three.
How much is one chocolate bar?
1.50
How much is one lollypop?
2.75
How did you find the cost of one lollipop and the cost of one chocolate bar?
2.75*3=8.25+1.50=9.75
JW
AC
1. One chocolate bar costs 2.25$
2. One lollipop costs 2.50$
3. The process I used to show this is this…
• I put random numbers that equaled around 9$ together. Two were .25$ greater (I was working with the 9.50$ TP).
2+2+2.25+2.25=8.5
C+C+L+L+TP
• I got the wrong price. Those items were supposed to cost 9.5$. I was a dollar off. To fix this I added .25$ to all items and tried again.
2.25+2.25+2.5+2.5=9.5
C+C+L+L=TP
• This time I got the right price. To make sure I tried it with an extra lollipop by adding .25$ to a chocolate bar’s price (I changed 2.25 to 2.5).
2.5+2.5+2.5+2.25=9.75
L+L+L+C=TP
L=Lollipop
C=Chocolate Bar
TB= Total Price
CG
(1) $1.75 for one chocolate bar
(2) $2.75 for a lollipop
(3) I guessed that $1.50 was the price of a chocolate bar and kept plugging in numbers for the lollipops. But every time there would not be enough money so I made $1.75 the price for a chocolate bar. Then I divided 8 by 3 and got $2.75.
S.A.
1. Chocolate bars are 2.25
2. Lollipops are 2.50
3. I tried a few different numbers before I found the answer the numbers I tried were. Lollipops $2.75 Chocolate bars $1.50. That worked for the first one but not the second one. I tried a couple others but they didn’t work. I was trying to get a price for each type of candy that worked for both times the candy was bought (2 chocolate bars, 2 lollipops and 1 chocolate bar, 3 lollipops).
DC
1. The price of a chocolate bar is $2.25.
This is the price because the difference between a lollipop and a chocolate bar is $0.25.
9.75-$9.50 =0.25
If the price of a chocolate bar has a $0.25 difference, then you have to subtract $0.50 from the data that “Two chocolate bars and two lollipops Cost $9.50”. You do this because you are switching two lollipops with two chocolate bars. Since you are doing this and there is a difference of -$0.25 for each you need to subtract $0.50.
9.50-0.5=9.00
You now know that you can buy four chocolate bars for $9.00.
Now that you know that four chocolate bars are bought for $9.00 you just have to divide $9.00 by 4 to get what one chocolate bar equals
9.00/4=2.25
Check: 2.25*4=9.00
2. The price of a Lollipop is $2.50.
This is the price because we already know that the difference between them both is $0.25
First we take the data “One chocolate bar and three lollipops Cost $9.75” and make it so it is all lollipops. We take the data and add $0.25 to it and change the chocolate bar to a lollipop. We do this because we already know that a lollipop costs $0.25 more than a chocolate bar.
9.75+0.25=10.00
Since know you know that $10.00 can buy you four lollipops you need to divide 10 by 4
10.00/4=2.5
Now you know that $2.50 dollars can buy you one lollipop.
Costly Candy R.H
How much is one chocolate bar?
1.50
How much is one lollipop?
2.75
How did you find the cost of one lollipop and the cost of one chocolate bar?
2.75x3=8.25 8.25+1.50= 9.75
I tried it as 3.50 for a lolli
And also at 2.50
For the chocolate I had 1.80
And 2.15
SG
1.It costs $2.25 per chocolate bar.
2.It costs $2.50 per chocolate bar.
3. I got my answers by testing numbers I thought would work. I knew the lollipops had to be more expensive than the chocolate bars because they bought more lollipops than chocolate in the first one, and it cost more.
First, the numbers that I tried were too low for the chocolate, and too high for the lollipops. EXAMPLE:
3.00x3+.75=9.75, but it was incorrect.
I then realized that they prices had to be pretty close together, so I tried numbers in the 2.00 range, and got the answer.
A.J.
The one chocolate bar costs 2.25 because I tried several different numbers and subtracted them from 9.75. I then took that answer and divided it by three and took that away from 9.75.I then had 2.5 and had the answer for the lollypops. I multiplied 2.5 by three and subtracted in from 9.75. I then got 2.25 again. One lollypop is 2.50 because I, again, tried several different numbers and multiplied 2.50 by 3 and subtracted that answer from 9.75 and got 2.25 which is the answer to the chocolate bar.
I used the first answer for the chocolate bar and multiplied it by two and got 4.5. I then multiplied 2.5 by 2 and got 5. I added 4.5 plus 5 and got 9.5.
Costly Candy T.B.
1. One chocolate bar 2.40x1=2.40 2.45x3= 6.75
2. one lollipop 2.45 2.45x3= 6.75
3. I found the cost by plugging in the numbers from any factors that go into 9.75
A.E.:
1. One chocolate bar costs .90 cents:
• First I used trial and error to find the answer 90 cents.
2. The cost of one chocolate bar is 2.95 dollars:
• I found this by:
9.75-.90/3 = 2.95
• Then I checked my answer by multiplying 2.95 by three because there are three lollipops and added .90 cents because there is one chocolate bar and it gave me the right answer.
• I plugged in the answer to the other problem and it gave me my answer again.
p.h
1. The cost of the chocolate bar is 2.25. I found this out by looking at the two prices paid. The difference between the first price and the second price was 25 cents less; so on lollipop has to cost 25 cents more than a chocolate bar because what made the people buying candy bars end up with different prices was because instead of a lollipop there was another chocolate bar added. Then I took 9.75 and divided it by 4 because all together there are four chocolate bars and I got 2.25.
2. The cost of the lollipop is 2.50. I got this answer by getting the cost of the chocolate bar then I knew that the lollipops cost 25 cents more than the chocolate bars so I added .25 to 2.25 and I got 2.50. I tried this a few times to make sure it was correct
am
1.50 For a chocolate bar
2.75 For a lollipop
1.50+2.75+2.75+2.75= 9.75
This is what I got for the first one…
1.50+1.50+2.75+2.75=8.50
I just added all of them by the given number like the first one.
It didn’t reach 9.50
P. O. W.
LJ
1. The cost of 1 chocolate bar is 2.25.
2. The cost of 1 lollipop is 2.50.
3. I got this by acting as if on the second problem they were switching a lollipop for a chocolate bar so the lollipop would have to cost .25 cents more than the chocolate bar. I decided that the cents would be for the lollipop .50 cents and for the chocolate bar it would be .25 cents. I guessed on the dollar and for both of them I guessed 2 dollars. I tried these out by adding 2.5+2.5+2.5+2.25=9.75 and then 2.5+2.5+2.75+2.75=9.50.
I know that 3lollipops+1chcolate bar =9.75,since theres a .75 in the total, i think the cost of the lollipop will have a .25 in it.
i plugged random numbers in thats reasonable, i tried 2.25for lollipops,2.25x3=6.75, and that way, the chocolate bar should be $3,
but i need to check my answer with the next one, so i did it truns out, if each lollipop is 2.25,2.25x2=4.5 but then then the chocolate
bar would be $5,i know my answer is incorrect, but this is the closest i got out of 5 tries.
H.L
How much is one chocolate bar? $3.42
How much is one lollipop? $2.11
How did u find the cost of one lollipop and the cost of one chocolate bar?
Lollipop- I took the original price of 1 chocolate bar and 3 lollipops ($9.75) and subtracted 3.42 which is the cost of the chocolate bar and got 6.33, then I divided 6.33 by 3.42.
Chocolate bar- I multiplied 2.11 which is the cost of the lollipop by 3 and added 3.42 which happened to be the cost of the lollipop.
H.R
Costly Candy T.B.
1. One chocolate bar 2.40 I found this by first finding the cost of a lollipop and the subtracting that from 9.75
2. One lollipop is 2.45 I found this by playing with numbers that could go into 9.75 along with the chocolate bar.
3. I found the cost by using 2.45 then multiplying that by 3 then I subtracted that number from 9.75 to get 2.40 the cost of a chocolate bar.
SB
1. 2.25$ for a chocolate bar.
2. 2.50$ for a lollipop.
3. I found the answer after trying 3 times when I thought I had the answer. I found the difference between a lollipop and the chocolate bar is .25. I found this when seeing that they took away a lollipop and added a chocolate bar making it 25 cents less.
A.C
P.O.W
Period 3
11/7/08
1. One chocolate bar is $3.30
2. One lollipop is $2.15.
3. After finding out the lollipop I subtracted 2.15 three times from 9.75, and got a remainder of 3.30. I did the same with the other problem, and got a 0. That is how I got my answer.
CG
1. $2.25for one chocolate bar
2. $2.50 for a lollipop
3. . I found that the difference between the two was 25 cents. It was 25 cents when they replaced a lollipop with a chocolate bar. Then I plugged in numbers until I got the answer.
How much is one chocolate bar?
$2.91
How much is one lollipop?
$2.11
How did you find the cost of one lollipop and the cost of one chocolate bar?
Lollipop- I took the original price 9.75 and subtracted 3.42 and got 6.33, then I subtracted 3.42
A.A.
A.E.,
1. One chocolate bar costs 2.25 cents:
• First I used trial and error to find the answer 2.25 dollars.
2. The cost of one lollipop is 2.50 dollars:
• I found this by:
9.75-2.25/3 = 2.50
• Then I checked my answer by multiplying 2.95 by three because there are three lollipops and added .90 cents because there is one chocolate bar and it gave me the right answer.
• I plugged in the answer to the other problem and it gave me my answer again.
G.F.
I took $9.75 and took away 90 cents. The reason I picked 90 cents was because I did trial and error. I got $8.85. Next, I divided $8.85 by 3 (because that’s how many lollipops there are). I got $2.95. So I think the lollipops are $2.95 each. So that means the chocolate bars equal 90 cents.
I solved the second problem by multiplying 90 by 2. I got $1.80. Then I multiplied $2.95 by 2 and got $5.90. But when I added $1.80 and $5.90, I got $7.70. So that didn’t work.
So, you have two chocolate bars and 2 lollipops that equal $9.50. I divided $9.50 by 2 and got $4.75. Next, I divided $4.75 by 2 and got $2.37.5 (approximately $2.37). I double-checked by multiplying $2.37 and I ended up getting $9.48. So I thought the other 2 cents could possibly be taxes.
So I picked one candy (lollipop) to add 1 cent to. I multiplied $2.37 by 2 plus $2.38 times 2. Together, I got $9.50.
Then, I tried to do the same with the first costs…
One chocolate bar and three lollipops Cost $9.75
But it didn’t work for that one either.
I also don’t think there are any taxes so that won’t count.
TK
First, to try to figure out the problem, I added $9.50 and $9.75. This equaled $19.25. Then, I tried to divide this by 5 because there are 5 lollipops in the problem which equaled $3.85 per lollipop. Then, I tried to divide $19.25 by 3 because there are 3 chocolate bars which equaled $6.41. I tried to use these numbers in the problem to see if they were the correct answer but found out it is incorrect because for the cost to be $9.75 I would have to add $6.41 plus $3.85 times 3 which would equal way more then the total cost.
Next, to try to figure it out, I divided $9.50 by 4 because there are 2 chocolate bars and 2 lollipops to equal $2.37. Then, I divided this by 2 because there are 2 chocolate bars and 2 lollipops to equal $1.18. I then figured out that this answer was incorrect because $1.18 multiplied by 4 equals way less then $9.50.
To try to figure out the problem, I divided $9.75 by 4 because there were 3 lollipops and 1 chocolate bar. I got $2.43. Then, I tried to divide $2.43 by 3 because there were 3 lollipops which equaled 81 cents.
MR
How much is one chocolate bar? 1. One chocolate bar is $2.25 because 2.50*3+(2.25)= 9.75 and 2.50*2+(2.25*2)= 9.50
How much is one lollipop? One lollipop is $2.50 because 2.50*3+(2.25)= 9.75 and 2.50*2+(2.25*2)= 9.50
How did you find the cost of one lollipop and the cost of one chocolate bar? I did the guess and check method until I found what was the right answer.
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