The ratio of the amount of money that Tiffany and Cindy brought along was 4 : 5. For their cousin's souvenir, Tiffany and Cindy shared the cost in the ratio of 3 : 2. Tiffany used up
35 of her money to pay for her share. After paying for her share, Cindy had $102 left. How much was the souvenir?
| |
Tiffany |
Cindy |
| Before |
4 u |
5 u |
| Change |
- 2.4 u |
- 1.6 u |
Comparing the cost shared
between Tiffany and Cindy |
- 3 p =
- 2.4 u |
- 2 p =
- 1.6 u |
| After |
1.6 u |
102 |
Amount that Tiffany 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 Cindy had left
= 5 u - 1.6 u
= 3.4 u
3.4 u = 102
1 u = 102 ÷ 3.4 = 30
Cost of the souvenir
= 2.4 u + 1.6 u
= 4 u
= 4 x 30
= $120
Answer: $120
