Victoria, Joelle, Marion and Dana jointly contributed to the cost of a present for their sister. Victoria's contribution is
910 of the total contribution made by the four girls. The ratio of Dana's contribution to the total of Joelle's and Marion's contribution is 4 : 3. What is the total contribution by the four girls if Joelle's contribution is
25 of Marion's contribution and the total amount contributed by Victoria and Dana is $4221?
Victoria |
Joelle |
Marion |
Dana |
Total |
9x49 |
1x49 |
10x49 |
|
3x7
|
4x7 |
|
|
2x3 |
5x3 |
|
|
441 u |
6 u |
15 u |
28 u |
490 u |
Working backwards.
Total amount that Joelle and Marion had is the combined repeated identity.
LCM of 3 and 7 = 21
Total amount that Joelle, Marion and Dana had is the next combined repeated identity.
LCM of 1 and 49 = 49
Total amount contributed by Victoria and Dana
= 441 u + 28 u
= 469 u
469 u = 4221
3 u = 4221 ÷ 469 = $9
Total contribution by the four girls
= 490 u
= 490 x 9
= $4410
Answer(s): $4410