Kylie, Jade, Fanny and Min jointly contributed to the cost of a present for their colleague. Kylie's contribution is
47 of the total contribution made by the four girls. The ratio of Min's contribution to the total of Jade's and Fanny's contribution is 5 : 2. What is the total contribution by the four girls if Jade's contribution is
27 of Fanny's contribution and the total amount contributed by Kylie and Min is $2064?
Kylie |
Jade |
Fanny |
Min |
Total |
4x21 |
3x21 |
7x21 |
|
2x9
|
5x9 |
|
|
2x2 |
7x2 |
|
|
84 u |
4 u |
14 u |
45 u |
147 u |
Working backwards.
Total amount that Jade and Fanny had is the combined repeated identity.
LCM of 2 and 9 = 18
Total amount that Jade, Fanny and Min had is the next combined repeated identity.
LCM of 3 and 21 = 63
Total amount contributed by Kylie and Min
= 84 u + 45 u
= 129 u
129 u = 2064
2 u = 2064 ÷ 129 = $16
Total contribution by the four girls
= 147 u
= 147 x 16
= $2352
Answer(s): $2352