Brandon and Howard had some allowance in the ratio of 5 : 8. They shared some money to buy a bracelet for their cousin. The ratio of the amount paid by Brandon to the amount paid by Howard was 1 : 2. If Howard was left with $32 and Brandon had spent
35 of his money, how much was the bracelet they bought?
| |
Brandon |
Howard |
| Before |
5 u |
8 u |
| Change |
- 3 u |
- 6 u |
Comparing the
amounts spent |
- 1x3 |
- 2x3 |
| After |
2 u |
32 |
The amount that Brandon spent is repeated. Make the amount that Brandon spent the same. LCM of 1 and 3 is 3.
Amount that Brandon spent
=
35 x 5 u
= 3 u
Amount that Howard spent
= 2 x 3 u
= 6 u
Amount that Howard had left
= 8 u - 6 u
= 2 u
2 u = 32
1 u = 32 ÷ 2 = 16
Price of the bracelet
= 3 u + 6 u
= 9 u
= 9 x 16
= $144
Answer(s): $144
