Ivan and Daniel had some allowance in the ratio of 3 : 11. They shared some money to buy a bracelet for their best friend. The ratio of the amount paid by Ivan to the amount paid by Daniel was 1 : 3. If Daniel was left with $85 and Ivan had spent
23 of his money, how much was the bracelet they bought?
| |
Ivan |
Daniel |
| Before |
3 u |
11 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
1 u |
85 |
The amount that Ivan spent is repeated. Make the amount that Ivan spent the same. LCM of 1 and 2 is 2.
Amount that Ivan spent
=
23 x 3 u
= 2 u
Amount that Daniel spent
= 3 x 2 u
= 6 u
Amount that Daniel had left
= 11 u - 6 u
= 5 u
5 u = 85
1 u = 85 ÷ 5 = 17
Price of the bracelet
= 2 u + 6 u
= 8 u
= 8 x 17
= $136
Answer(s): $136
