Daniel and Fabian had some allowance in the ratio of 5 : 11. They shared some money to buy a ring for their uncle. The ratio of the amount paid by Daniel to the amount paid by Fabian was 1 : 2. If Fabian was left with $77 and Daniel had spent
25 of his money, how much was the ring they bought?
| |
Daniel |
Fabian |
| Before |
5 u |
11 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
3 u |
77 |
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
=
25 x 5 u
= 2 u
Amount that Fabian spent
= 2 x 2 u
= 4 u
Amount that Fabian had left
= 11 u - 4 u
= 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Price of the ring
= 2 u + 4 u
= 6 u
= 6 x 11
= $66
Answer(s): $66
