Kimberly, Elyse, Min and Opal jointly contributed to the cost of a present for their sister. Kimberly's contribution is
25 of the total contribution made by the four girls. The ratio of Opal's contribution to the total of Elyse's and Min's contribution is 5 : 4. What is the total contribution by the four girls if Elyse's contribution is
14 of Min's contribution and the total amount contributed by Kimberly and Opal is $660?
Kimberly |
Elyse |
Min |
Opal |
Total |
2x15 |
3x15 |
5x15 |
|
4x5
|
5x5 |
|
|
1x4 |
4x4 |
|
|
30 u |
4 u |
16 u |
25 u |
75 u |
Working backwards.
Total amount that Elyse and Min had is the combined repeated identity.
LCM of 4 and 5 = 20
Total amount that Elyse, Min and Opal had is the next combined repeated identity.
LCM of 3 and 15 = 45
Total amount contributed by Kimberly and Opal
= 30 u + 25 u
= 55 u
55 u = 660
4 u = 660 ÷ 55 = $12
Total contribution by the four girls
= 75 u
= 75 x 12
= $900
Answer(s): $900