The ratio of the amount of money that Vanessa and Shiyun brought along was 3 : 4. For their brother's present, Vanessa and Shiyun shared the cost in the ratio of 2 : 3. Vanessa used up
25 of her money to pay for her share. After paying for her share, Shiyun had $110 left. How much was the present?
| |
Vanessa |
Shiyun |
| Before |
3 u |
4 u |
| Change |
- 1.2 u |
- 1.8 u |
Comparing the cost shared
between Vanessa and Shiyun |
- 2 p =
- 1.2 u |
- 3 p =
- 1.8 u |
| After |
1.8 u |
110 |
Amount that Vanessa spent on the present
=
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 Shiyun had left
= 4 u - 1.8 u
= 2.2 u
2.2 u = 110
1 u = 110 ÷ 2.2 = 50
Cost of the present
= 1.2 u + 1.8 u
= 3 u
= 3 x 50
= $150
Answer: $150
