Jaslyn, Opal, Raeann and Xandra jointly contributed to the cost of a present for their brother. Jaslyn's contribution is
25 of the total contribution made by the four girls. The ratio of Xandra's contribution to the total of Opal's and Raeann's contribution is 5 : 2. What is the total contribution by the four girls if Opal's contribution is
27 of Raeann's contribution and the total amount contributed by Jaslyn and Xandra is $1479?
Jaslyn |
Opal |
Raeann |
Xandra |
Total |
2x21 |
3x21 |
5x21 |
|
2x9
|
5x9 |
|
|
2x2 |
7x2 |
|
|
42 u |
4 u |
14 u |
45 u |
105 u |
Working backwards.
Total amount that Opal and Raeann had is the combined repeated identity.
LCM of 2 and 9 = 18
Total amount that Opal, Raeann and Xandra had is the next combined repeated identity.
LCM of 3 and 21 = 63
Total amount contributed by Jaslyn and Xandra
= 42 u + 45 u
= 87 u
87 u = 1479
2 u = 1479 ÷ 87 = $17
Total contribution by the four girls
= 105 u
= 105 x 17
= $1785
Answer(s): $1785