Jane, Shiyun, Rachel and Erika jointly contributed to the cost of a present for their brother. Jane's contribution is
710 of the total contribution made by the four girls. The ratio of Erika's contribution to the total of Shiyun's and Rachel's contribution is 5 : 1. What is the total contribution by the four girls if Shiyun's contribution is
14 of Rachel's contribution and the total amount contributed by Jane and Erika is $1425?
Jane |
Shiyun |
Rachel |
Erika |
Total |
7x10 |
3x10 |
10x10 |
|
1x5
|
5x5 |
|
|
1x1 |
4x1 |
|
|
70 u |
1 u |
4 u |
25 u |
100 u |
Working backwards.
Total amount that Shiyun and Rachel had is the combined repeated identity.
LCM of 1 and 5 = 5
Total amount that Shiyun, Rachel and Erika had is the next combined repeated identity.
LCM of 3 and 10 = 30
Total amount contributed by Jane and Erika
= 70 u + 25 u
= 95 u
95 u = 1425
1 u = 1425 ÷ 95 = $15
Total contribution by the four girls
= 100 u
= 100 x 15
= $1500
Answer(s): $1500