Pierre and Ryan had some allowance in the ratio of 5 : 11. They shared some money to buy a ring for their mother. The ratio of the amount paid by Pierre to the amount paid by Ryan was 1 : 3. If Ryan was left with $42 and Pierre had spent
35 of his money, how much was the ring they bought?
| |
Pierre |
Ryan |
| Before |
5 u |
11 u |
| Change |
- 3 u |
- 9 u |
Comparing the
amounts spent |
- 1x3 |
- 3x3 |
| After |
2 u |
42 |
The amount that Pierre spent is repeated. Make the amount that Pierre spent the same. LCM of 1 and 3 is 3.
Amount that Pierre spent
=
35 x 5 u
= 3 u
Amount that Ryan spent
= 3 x 3 u
= 9 u
Amount that Ryan had left
= 11 u - 9 u
= 2 u
2 u = 42
1 u = 42 ÷ 2 = 21
Price of the ring
= 3 u + 9 u
= 12 u
= 12 x 21
= $252
Answer(s): $252
