The ratio of the amount of money that Gem and Roshel brought along was 3 : 4. For their sister's souvenir, Gem and Roshel shared the cost in the ratio of 2 : 3. Gem used up
25 of her money to pay for her share. After paying for her share, Roshel had $297 left. How much was the souvenir?
|
Gem |
Roshel |
Before |
3 u |
4 u |
Change |
- 1.2 u |
- 1.8 u |
Comparing the cost shared between Gem and Roshel |
- 2 p = - 1.2 u |
- 3 p = - 1.8 u |
After |
1.8 u |
297 |
Amount that Gem spent on the souvenir
=
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 Roshel had left
= 4 u - 1.8 u
= 2.2 u
2.2 u = 297
1 u = 297 ÷ 2.2 = 135
Cost of the souvenir
= 1.2 u + 1.8 u
= 3 u
= 3 x 135
= $405
Answer: $405