The ratio of the amount of money that Gabby and Gem brought along was 4 : 5. For their cousin's gift, Gabby and Gem shared the cost in the ratio of 2 : 3. Gabby used up
25 of her money to pay for her share. After paying for her share, Gem had $234 left. How much was the gift?
|
Gabby |
Gem |
Before |
4 u |
5 u |
Change |
- 1.6 u |
- 2.4 u |
Comparing the cost shared between Gabby and Gem |
- 2 p = - 1.6 u |
- 3 p = - 2.4 u |
After |
2.4 u |
234 |
Amount that Gabby 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 Gem had left
= 5 u - 2.4 u
= 2.6 u
2.6 u = 234
1 u = 234 ÷ 2.6 = 90
Cost of the gift
= 1.6 u + 2.4 u
= 4 u
= 4 x 90
= $360
Answer: $360