Japheth and Reggie had some allowance in the ratio of 3 : 10. They shared some money to buy a bracelet for their father. The ratio of the amount paid by Japheth to the amount paid by Reggie was 1 : 2. If Reggie was left with $84 and Japheth had spent
23 of his money, how much was the bracelet they bought?
| |
Japheth |
Reggie |
| Before |
3 u |
10 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
84 |
The amount that Japheth spent is repeated. Make the amount that Japheth spent the same. LCM of 1 and 2 is 2.
Amount that Japheth spent
=
23 x 3 u
= 2 u
Amount that Reggie spent
= 2 x 2 u
= 4 u
Amount that Reggie had left
= 10 u - 4 u
= 6 u
6 u = 84
1 u = 84 ÷ 6 = 14
Price of the bracelet
= 2 u + 4 u
= 6 u
= 6 x 14
= $84
Answer(s): $84
