Jade, Anna, Kimberly and Xandra jointly contributed to the cost of a present for their colleague. Jade's contribution is
23 of the total contribution made by the four girls. The ratio of Xandra's contribution to the total of Anna's and Kimberly's contribution is 5 : 2. What is the total contribution by the four girls if Anna's contribution is
16 of Kimberly's contribution and the total amount contributed by Jade and Xandra is $1197?
Jade |
Anna |
Kimberly |
Xandra |
Total |
2x49 |
1x49 |
3x49 |
|
2x7
|
5x7 |
|
|
1x2 |
6x2 |
|
|
98 u |
2 u |
12 u |
35 u |
147 u |
Working backwards.
Total amount that Anna and Kimberly had is the combined repeated identity.
LCM of 2 and 7 = 14
Total amount that Anna, Kimberly and Xandra had is the next combined repeated identity.
LCM of 1 and 49 = 49
Total amount contributed by Jade and Xandra
= 98 u + 35 u
= 133 u
133 u = 1197
2 u = 1197 ÷ 133 = $9
Total contribution by the four girls
= 147 u
= 147 x 9
= $1323
Answer(s): $1323