Daniel and Zeph had some allowance in the ratio of 3 : 8. They shared some money to buy a ring for their father. The ratio of the amount paid by Daniel to the amount paid by Zeph was 1 : 3. If Zeph was left with $44 and Daniel had spent
23 of his money, how much was the ring they bought?
| |
Daniel |
Zeph |
| Before |
3 u |
8 u |
| Change |
- 2 u |
- 6 u |
Comparing the
amounts spent |
- 1x2 |
- 3x2 |
| After |
1 u |
44 |
The amount that Daniel spent is repeated. Make the amount that Daniel spent the same. LCM of 1 and 2 is 2.
Amount that Daniel spent
=
23 x 3 u
= 2 u
Amount that Zeph spent
= 3 x 2 u
= 6 u
Amount that Zeph had left
= 8 u - 6 u
= 2 u
2 u = 44
1 u = 44 ÷ 2 = 22
Price of the ring
= 2 u + 6 u
= 8 u
= 8 x 22
= $176
Answer(s): $176
