Jeremy and Cole had some allowance in the ratio of 5 : 7. They shared some money to buy a necklace for their uncle. The ratio of the amount paid by Jeremy to the amount paid by Cole was 1 : 2. If Cole was left with $87 and Jeremy had spent
25 of his money, how much was the necklace they bought?
| |
Jeremy |
Cole |
| Before |
5 u |
7 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
3 u |
87 |
The amount that Jeremy spent is repeated. Make the amount that Jeremy spent the same. LCM of 1 and 2 is 2.
Amount that Jeremy spent
=
25 x 5 u
= 2 u
Amount that Cole spent
= 2 x 2 u
= 4 u
Amount that Cole had left
= 7 u - 4 u
= 3 u
3 u = 87
1 u = 87 ÷ 3 = 29
Price of the necklace
= 2 u + 4 u
= 6 u
= 6 x 29
= $174
Answer(s): $174
