The ratio of the amount of money that Gillian and Nicole brought along was 4 : 5. For their sister's present, Gillian and Nicole shared the cost in the ratio of 2 : 3. Gillian used up
25 of her money to pay for her share. After paying for her share, Nicole had $208 left. How much was the present?
| |
Gillian |
Nicole |
| Before |
4 u |
5 u |
| Change |
- 1.6 u |
- 2.4 u |
Comparing the cost shared
between Gillian and Nicole |
- 2 p =
- 1.6 u |
- 3 p =
- 2.4 u |
| After |
2.4 u |
208 |
Amount that Gillian spent on the present
=
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 Nicole had left
= 5 u - 2.4 u
= 2.6 u
2.6 u = 208
1 u = 208 ÷ 2.6 = 80
Cost of the present
= 1.6 u + 2.4 u
= 4 u
= 4 x 80
= $320
Answer: $320
