The ratio of the amount of money that Sabrina and Penelope brought along was 4 : 5. For their cousin's souvenir, Sabrina and Penelope shared the cost in the ratio of 2 : 3. Sabrina used up
25 of her money to pay for her share. After paying for her share, Penelope had $104 left. How much was the souvenir?
| |
Sabrina |
Penelope |
| Before |
4 u |
5 u |
| Change |
- 1.6 u |
- 2.4 u |
Comparing the cost shared
between Sabrina and Penelope |
- 2 p =
- 1.6 u |
- 3 p =
- 2.4 u |
| After |
2.4 u |
104 |
Amount that Sabrina spent on the souvenir
=
25 x 4 u
= 1.6 u
2 p = 1.6 u
1 p = 1.6 u ÷ 2 = 0.8
3 p = 3 x 0.8 = 2.4 u
Amount that Penelope had left
= 5 u - 2.4 u
= 2.6 u
2.6 u = 104
1 u = 104 ÷ 2.6 = 40
Cost of the souvenir
= 1.6 u + 2.4 u
= 4 u
= 4 x 40
= $160
Answer: $160
