Zane and Gabriel had some allowance in the ratio of 3 : 7. They shared some money to buy a necklace for their auntie. The ratio of the amount paid by Zane to the amount paid by Gabriel was 1 : 2. If Gabriel was left with $45 and Zane had spent
23 of his money, how much was the necklace they bought?
| |
Zane |
Gabriel |
| Before |
3 u |
7 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
1 u |
45 |
The amount that Zane spent is repeated. Make the amount that Zane spent the same. LCM of 1 and 2 is 2.
Amount that Zane spent
=
23 x 3 u
= 2 u
Amount that Gabriel spent
= 2 x 2 u
= 4 u
Amount that Gabriel had left
= 7 u - 4 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Price of the necklace
= 2 u + 4 u
= 6 u
= 6 x 15
= $90
Answer(s): $90
