Andy and Valen had some allowance in the ratio of 3 : 11. They shared some money to buy a bracelet for their neighbour. The ratio of the amount paid by Andy to the amount paid by Valen was 1 : 4. If Valen was left with $78 and Andy had spent
23 of his money, how much was the bracelet they bought?
| |
Andy |
Valen |
| Before |
3 u |
11 u |
| Change |
- 2 u |
- 8 u |
Comparing the
amounts spent |
- 1x2 |
- 4x2 |
| After |
1 u |
78 |
The amount that Andy spent is repeated. Make the amount that Andy spent the same. LCM of 1 and 2 is 2.
Amount that Andy spent
=
23 x 3 u
= 2 u
Amount that Valen spent
= 4 x 2 u
= 8 u
Amount that Valen had left
= 11 u - 8 u
= 3 u
3 u = 78
1 u = 78 ÷ 3 = 26
Price of the bracelet
= 2 u + 8 u
= 10 u
= 10 x 26
= $260
Answer(s): $260
