Zoe, Jane, Tammy and Sabrina jointly contributed to the cost of a present for their colleague. Zoe's contribution is
23 of the total contribution made by the four girls. The ratio of Sabrina's contribution to the total of Jane's and Tammy's contribution is 2 : 1. What is the total contribution by the four girls if Jane's contribution is
25 of Tammy's contribution and the total amount contributed by Zoe and Sabrina is $1064?
Zoe |
Jane |
Tammy |
Sabrina |
Total |
2x21 |
1x21 |
3x21 |
|
1x7
|
2x7 |
|
|
2x1 |
5x1 |
|
|
42 u |
2 u |
5 u |
14 u |
63 u |
Working backwards.
Total amount that Jane and Tammy had is the combined repeated identity.
LCM of 1 and 7 = 7
Total amount that Jane, Tammy and Sabrina had is the next combined repeated identity.
LCM of 1 and 21 = 21
Total amount contributed by Zoe and Sabrina
= 42 u + 14 u
= 56 u
56 u = 1064
1 u = 1064 ÷ 56 = $19
Total contribution by the four girls
= 63 u
= 63 x 19
= $1197
Answer(s): $1197