The ratio of the amount of money that Barbara and Opal brought along was 4 : 5. For their sister's souvenir, Barbara and Opal shared the cost in the ratio of 3 : 2. Barbara used up
35 of her money to pay for her share. After paying for her share, Opal had $289 left. How much was the souvenir?
|
Barbara |
Opal |
Before |
4 u |
5 u |
Change |
- 2.4 u |
- 1.6 u |
Comparing the cost shared between Barbara and Opal |
- 3 p = - 2.4 u |
- 2 p = - 1.6 u |
After |
1.6 u |
289 |
Amount that Barbara 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 = 289
1 u = 289 ÷ 3.4 = 85
Cost of the souvenir
= 2.4 u + 1.6 u
= 4 u
= 4 x 85
= $340
Answer: $340