The ratio of the amount of money that Yen and Emily brought along was 4 : 5. For their sister's souvenir, Yen and Emily shared the cost in the ratio of 2 : 3. Yen used up
25 of her money to pay for her share. After paying for her share, Emily had $104 left. How much was the souvenir?
|
Yen |
Emily |
Before |
4 u |
5 u |
Change |
- 1.6 u |
- 2.4 u |
Comparing the cost shared between Yen and Emily |
- 2 p = - 1.6 u |
- 3 p = - 2.4 u |
After |
2.4 u |
104 |
Amount that Yen spent on the souvenir
=
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 Emily had left
= 5 u - 2.4 u
= 2.6 u
2.6 u = 104
1 u = 104 ÷ 2.6 = 40
Cost of the souvenir
= 1.6 u + 2.4 u
= 4 u
= 4 x 40
= $160
Answer: $160