Ivory, Jean, Hazel and Wendy jointly contributed to the cost of a present for their colleague. Ivory's contribution is
35 of the total contribution made by the four girls. The ratio of Wendy's contribution to the total of Jean's and Hazel's contribution is 5 : 1. What is the total contribution by the four girls if Jean's contribution is
23 of Hazel's contribution and the total amount contributed by Ivory and Wendy is $630?
Ivory |
Jean |
Hazel |
Wendy |
Total |
3x15 |
2x15 |
5x15 |
|
1x5
|
5x5 |
|
|
2x1 |
3x1 |
|
|
45 u |
2 u |
3 u |
25 u |
75 u |
Working backwards.
Total amount that Jean and Hazel had is the combined repeated identity.
LCM of 1 and 5 = 5
Total amount that Jean, Hazel and Wendy had is the next combined repeated identity.
LCM of 2 and 15 = 30
Total amount contributed by Ivory and Wendy
= 45 u + 25 u
= 70 u
70 u = 630
1 u = 630 ÷ 70 = $9
Total contribution by the four girls
= 75 u
= 75 x 9
= $675
Answer(s): $675