The ratio of the amount of money that Kathy and Kylie brought along was 3 : 4. For their sister's souvenir, Kathy and Kylie shared the cost in the ratio of 2 : 3. Kathy used up
25 of her money to pay for her share. After paying for her share, Kylie had $110 left. How much was the souvenir?
| |
Kathy |
Kylie |
| Before |
3 u |
4 u |
| Change |
- 1.2 u |
- 1.8 u |
Comparing the cost shared
between Kathy and Kylie |
- 2 p =
- 1.2 u |
- 3 p =
- 1.8 u |
| After |
1.8 u |
110 |
Amount that Kathy spent on the souvenir
=
25 x 3 u
= 1.2 u
2 p = 1.2 u
1 p = 1.2 u ÷ 2 = 0.6
3 p = 3 x 0.6 = 1.8 u
Amount that Kylie had left
= 4 u - 1.8 u
= 2.2 u
2.2 u = 110
1 u = 110 ÷ 2.2 = 50
Cost of the souvenir
= 1.2 u + 1.8 u
= 3 u
= 3 x 50
= $150
Answer: $150
