The ratio of the amount of money that Usha and Shannon brought along was 4 : 5. For their sister's gift, Usha and Shannon shared the cost in the ratio of 2 : 3. Usha used up
25 of her money to pay for her share. After paying for her share, Shannon had $182 left. How much was the gift?
| |
Usha |
Shannon |
| Before |
4 u |
5 u |
| Change |
- 1.6 u |
- 2.4 u |
Comparing the cost shared
between Usha and Shannon |
- 2 p =
- 1.6 u |
- 3 p =
- 2.4 u |
| After |
2.4 u |
182 |
Amount that Usha spent on the gift
=
25 x 4 u
= 1.6 u
2 p = 1.6 u
1 p = 1.6 u ÷ 2 = 0.8
3 p = 3 x 0.8 = 2.4 u
Amount that Shannon had left
= 5 u - 2.4 u
= 2.6 u
2.6 u = 182
1 u = 182 ÷ 2.6 = 70
Cost of the gift
= 1.6 u + 2.4 u
= 4 u
= 4 x 70
= $280
Answer: $280
