Brandon and Michael had some allowance in the ratio of 3 : 10. They shared some money to buy a necklace for their buddy. The ratio of the amount paid by Brandon to the amount paid by Michael was 1 : 3. If Michael was left with $88 and Brandon had spent
23 of his money, how much was the necklace they bought?
| |
Brandon |
Michael |
| Before |
3 u |
10 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
1 u |
88 |
The amount that Brandon spent is repeated. Make the amount that Brandon spent the same. LCM of 1 and 2 is 2.
Amount that Brandon spent
=
23 x 3 u
= 2 u
Amount that Michael spent
= 3 x 2 u
= 6 u
Amount that Michael had left
= 10 u - 6 u
= 4 u
4 u = 88
1 u = 88 ÷ 4 = 22
Price of the necklace
= 2 u + 6 u
= 8 u
= 8 x 22
= $176
Answer(s): $176
