The ratio of the amount of money that Yoko and Opal brought along was 4 : 5. For their brother's souvenir, Yoko and Opal shared the cost in the ratio of 3 : 2. Yoko used up
35 of her money to pay for her share. After paying for her share, Opal had $272 left. How much was the souvenir?
|
Yoko |
Opal |
Before |
4 u |
5 u |
Change |
- 2.4 u |
- 1.6 u |
Comparing the cost shared between Yoko and Opal |
- 3 p = - 2.4 u |
- 2 p = - 1.6 u |
After |
1.6 u |
272 |
Amount that Yoko spent on the souvenir
=
35 x 4 u
= 2.4 u
3 p = 2.4 u
1 p = 2.4 u ÷ 3 = 0.8
2 p = 2 x 0.8 = 1.6 u
Amount that Opal had left
= 5 u - 1.6 u
= 3.4 u
3.4 u = 272
1 u = 272 ÷ 3.4 = 80
Cost of the souvenir
= 2.4 u + 1.6 u
= 4 u
= 4 x 80
= $320
Answer: $320