The ratio of the amount of money that Tiffany and Yoko brought along was 3 : 4. For their brother's gift, Tiffany and Yoko shared the cost in the ratio of 2 : 3. Tiffany used up
25 of her money to pay for her share. After paying for her share, Yoko had $209 left. How much was the gift?
| |
Tiffany |
Yoko |
| Before |
3 u |
4 u |
| Change |
- 1.2 u |
- 1.8 u |
Comparing the cost shared
between Tiffany and Yoko |
- 2 p =
- 1.2 u |
- 3 p =
- 1.8 u |
| After |
1.8 u |
209 |
Amount that Tiffany 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 Yoko had left
= 4 u - 1.8 u
= 2.2 u
2.2 u = 209
1 u = 209 ÷ 2.2 = 95
Cost of the gift
= 1.2 u + 1.8 u
= 3 u
= 3 x 95
= $285
Answer: $285
