Mary, Marion, Sabrina and Hazel jointly contributed to the cost of a present for their schoolmate. Mary's contribution is
56 of the total contribution made by the four girls. The ratio of Hazel's contribution to the total of Marion's and Sabrina's contribution is 2 : 1. What is the total contribution by the four girls if Marion's contribution is
14 of Sabrina's contribution and the total amount contributed by Mary and Hazel is $1530?
Mary |
Marion |
Sabrina |
Hazel |
Total |
5x15 |
1x15 |
6x15 |
|
1x5
|
2x5 |
|
|
1x1 |
4x1 |
|
|
75 u |
1 u |
4 u |
10 u |
90 u |
Working backwards.
Total amount that Marion and Sabrina had is the combined repeated identity.
LCM of 1 and 5 = 5
Total amount that Marion, Sabrina and Hazel had is the next combined repeated identity.
LCM of 1 and 15 = 15
Total amount contributed by Mary and Hazel
= 75 u + 10 u
= 85 u
85 u = 1530
1 u = 1530 ÷ 85 = $18
Total contribution by the four girls
= 90 u
= 90 x 18
= $1620
Answer(s): $1620