The ratio of the amount of money that Hilda and Joelle brought along was 4 : 5. For their sister's gift, Hilda and Joelle shared the cost in the ratio of 3 : 2. Hilda used up
35 of her money to pay for her share. After paying for her share, Joelle had $289 left. How much was the gift?
| |
Hilda |
Joelle |
| Before |
4 u |
5 u |
| Change |
- 2.4 u |
- 1.6 u |
Comparing the cost shared
between Hilda and Joelle |
- 3 p =
- 2.4 u |
- 2 p =
- 1.6 u |
| After |
1.6 u |
289 |
Amount that Hilda 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 Joelle had left
= 5 u - 1.6 u
= 3.4 u
3.4 u = 289
1 u = 289 ÷ 3.4 = 85
Cost of the gift
= 2.4 u + 1.6 u
= 4 u
= 4 x 85
= $340
Answer: $340
