The ratio of the amount of money that Gem and Gwen brought along was 4 : 5. For their cousin's gift, Gem and Gwen shared the cost in the ratio of 3 : 2. Gem used up
35 of her money to pay for her share. After paying for her share, Gwen had $255 left. How much was the gift?
|
Gem |
Gwen |
Before |
4 u |
5 u |
Change |
- 2.4 u |
- 1.6 u |
Comparing the cost shared between Gem and Gwen |
- 3 p = - 2.4 u |
- 2 p = - 1.6 u |
After |
1.6 u |
255 |
Amount that Gem 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 Gwen had left
= 5 u - 1.6 u
= 3.4 u
3.4 u = 255
1 u = 255 ÷ 3.4 = 75
Cost of the gift
= 2.4 u + 1.6 u
= 4 u
= 4 x 75
= $300
Answer: $300