Ian and Will had some allowance in the ratio of 5 : 11. They shared some money to buy a necklace for their cousin. The ratio of the amount paid by Ian to the amount paid by Will was 1 : 2. If Will was left with $196 and Ian had spent
25 of his money, how much was the necklace they bought?
| |
Ian |
Will |
| Before |
5 u |
11 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
3 u |
196 |
The amount that Ian spent is repeated. Make the amount that Ian spent the same. LCM of 1 and 2 is 2.
Amount that Ian spent
=
25 x 5 u
= 2 u
Amount that Will spent
= 2 x 2 u
= 4 u
Amount that Will had left
= 11 u - 4 u
= 7 u
7 u = 196
1 u = 196 ÷ 7 = 28
Price of the necklace
= 2 u + 4 u
= 6 u
= 6 x 28
= $168
Answer(s): $168
