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Thursday, June 22 2017 @ 05:27 PM CDT
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 pie chart
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By: JessicaTan (offline)  Monday, July 15 2013 @ 08:22 AM CDT (Read 1608 times)  
JessicaTan

Please help, I don't have answer key.

attached with questions

Thanks in advance.

Jessica

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By: echeewh (offline)  Monday, July 15 2013 @ 06:03 PM CDT  
echeewh

Hi Jessica,

Following is my worked solution:

A = B
C - A = 150
C = D = (1/4)
A + B + E = (1/2)
2A + E = (1/2)
(1/4) - A = 150
A = (1/4) - 150
2A = (1/2) - 300
(1/2) - 300 + E = (1/2)
E = 300

Eddie received $300

========

Trust this helps.

Do let me know again if this is different from your <Answerkey> or if there's further clarification.

Cheers,
Edward

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By: echeewh (offline)  Monday, July 22 2013 @ 10:50 PM CDT  
echeewh

Hi Jessica,

Another alternative to my earlier solution (which can be easily understood) is as follows:

C = A + 150

Since C = D and A = B, we have ...
D = B + 150

C + D = A + B + 300

But C + D = A + B + E

A + B + E = A + B + 300

Hence, E = $300

========

Trust this helps.

Cheers,
Edward

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Posts: 623

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By: aceacademy (offline)  Tuesday, July 23 2013 @ 10:02 PM CDT  
aceacademy

Hi,

Another way to solve this (tested this on my students who found this easiest to understand). Smile

Let C's amount be $x.
Total amount is $4x (given that Clara represents 1/4 of the pie chart).

C and D have $x each, or 2x in total.
A and B have $(x-150) each, or (2x-300) in total
Eddie's amount remains unknown, E.

Hence, you get

2x + (2x-300) + E = 4x (sum of all the children's money = total in pie chart)
4x - 300 + E = 4x
Therefore, E = $300

Regards,
Ace Academy

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