
By: JessicaTan (offline) Monday, July 15 2013 @ 08:22 AM CDT (Read 1749 times)



JessicaTan 
Please help, I don't have answer key.
attached with questions
Thanks in advance.
Jessica

Regular Member
Registered: 10/17/09 Posts: 82





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

Active Member
Registered: 04/21/11 Posts: 627





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

Active Member
Registered: 04/21/11 Posts: 627





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).
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 $(x150) each, or (2x300) in total
Eddie's amount remains unknown, E.
Hence, you get
2x + (2x300) + E = 4x (sum of all the children's money = total in pie chart)
4x  300 + E = 4x
Therefore, E = $300
Regards,
Ace Academy

Regular Member
Registered: 03/26/13 Posts: 88



