Jaslyn, Shiyun, Eva and Zara jointly contributed to the cost of a present for their colleague. Jaslyn's contribution is
49 of the total contribution made by the four girls. The ratio of Zara's contribution to the total of Shiyun's and Eva's contribution is 3 : 2. What is the total contribution by the four girls if Shiyun's contribution is
18 of Eva's contribution and the total amount contributed by Jaslyn and Zara is $315?
Jaslyn |
Shiyun |
Eva |
Zara |
Total |
4x9 |
5x9 |
9x9 |
|
2x9
|
3x9 |
|
|
1x2 |
8x2 |
|
|
36 u |
2 u |
16 u |
27 u |
81 u |
Working backwards.
Total amount that Shiyun and Eva had is the combined repeated identity.
LCM of 2 and 9 = 18
Total amount that Shiyun, Eva and Zara had is the next combined repeated identity.
LCM of 5 and 9 = 45
Total amount contributed by Jaslyn and Zara
= 36 u + 27 u
= 63 u
63 u = 315
2 u = 315 ÷ 63 = $5
Total contribution by the four girls
= 81 u
= 81 x 5
= $405
Answer(s): $405