The ratio of the amount of money that Nora and Raeann brought along was 3 : 4. For their cousin's souvenir, Nora and Raeann shared the cost in the ratio of 3 : 2. Nora used up
35 of her money to pay for her share. After paying for her share, Raeann had $112 left. How much was the souvenir?
| |
Nora |
Raeann |
| Before |
3 u |
4 u |
| Change |
- 1.8 u |
- 1.2 u |
Comparing the cost shared
between Nora and Raeann |
- 3 p =
- 1.8 u |
- 2 p =
- 1.2 u |
| After |
1.2 u |
112 |
Amount that Nora spent on the souvenir
=
35 x 3 u
= 1.8 u
3 p = 1.8 u
1 p = 1.8 u ÷ 3 = 0.6
2 p = 2 x 0.6 = 1.2 u
Amount that Raeann had left
= 4 u - 1.2 u
= 2.8 u
2.8 u = 112
1 u = 112 ÷ 2.8 = 40
Cost of the souvenir
= 1.8 u + 1.2 u
= 3 u
= 3 x 40
= $120
Answer: $120
