The ratio of the amount of money that Shannon and Nicole brought along was 3 : 4. For their brother's gift, Shannon and Nicole shared the cost in the ratio of 2 : 3. Shannon used up
25 of her money to pay for her share. After paying for her share, Nicole had $220 left. How much was the gift?
| |
Shannon |
Nicole |
| Before |
3 u |
4 u |
| Change |
- 1.2 u |
- 1.8 u |
Comparing the cost shared
between Shannon and Nicole |
- 2 p =
- 1.2 u |
- 3 p =
- 1.8 u |
| After |
1.8 u |
220 |
Amount that Shannon spent on the gift
=
25 x 3 u
= 1.2 u
2 p = 1.2 u
1 p = 1.2 u ÷ 2 = 0.6
3 p = 3 x 0.6 = 1.8 u
Amount that Nicole had left
= 4 u - 1.8 u
= 2.2 u
2.2 u = 220
1 u = 220 ÷ 2.2 = 100
Cost of the gift
= 1.2 u + 1.8 u
= 3 u
= 3 x 100
= $300
Answer: $300
