The ratio of the amount of money that Fiona and Risa brought along was 4 : 5. For their sister's souvenir, Fiona and Risa shared the cost in the ratio of 3 : 2. Fiona used up
35 of her money to pay for her share. After paying for her share, Risa had $187 left. How much was the souvenir?
|
Fiona |
Risa |
Before |
4 u |
5 u |
Change |
- 2.4 u |
- 1.6 u |
Comparing the cost shared between Fiona and Risa |
- 3 p = - 2.4 u |
- 2 p = - 1.6 u |
After |
1.6 u |
187 |
Amount that Fiona 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 Risa had left
= 5 u - 1.6 u
= 3.4 u
3.4 u = 187
1 u = 187 ÷ 3.4 = 55
Cost of the souvenir
= 2.4 u + 1.6 u
= 4 u
= 4 x 55
= $220
Answer: $220