The ratio of the amount of money that Winnie and Nicole brought along was 4 : 5. For their sister's gift, Winnie and Nicole shared the cost in the ratio of 3 : 2. Winnie used up
35 of her money to pay for her share. After paying for her share, Nicole had $187 left. How much was the gift?
|
Winnie |
Nicole |
Before |
4 u |
5 u |
Change |
- 2.4 u |
- 1.6 u |
Comparing the cost shared between Winnie and Nicole |
- 3 p = - 2.4 u |
- 2 p = - 1.6 u |
After |
1.6 u |
187 |
Amount that Winnie spent on the gift
=
35 x 4 u
= 2.4 u
3 p = 2.4 u
1 p = 2.4 u ÷ 3 = 0.8
2 p = 2 x 0.8 = 1.6 u
Amount that Nicole had left
= 5 u - 1.6 u
= 3.4 u
3.4 u = 187
1 u = 187 ÷ 3.4 = 55
Cost of the gift
= 2.4 u + 1.6 u
= 4 u
= 4 x 55
= $220
Answer: $220