Elijah and Eric had some allowance in the ratio of 5 : 9. They shared some money to buy a necklace for their father. The ratio of the amount paid by Elijah to the amount paid by Eric was 1 : 2. If Eric was left with $125 and Elijah had spent
25 of his money, how much was the necklace they bought?
| |
Elijah |
Eric |
| Before |
5 u |
9 u |
| Change |
- 2 u |
- 4 u |
Comparing the
amounts spent |
- 1x2 |
- 2x2 |
| After |
3 u |
125 |
The amount that Elijah spent is repeated. Make the amount that Elijah spent the same. LCM of 1 and 2 is 2.
Amount that Elijah spent
=
25 x 5 u
= 2 u
Amount that Eric spent
= 2 x 2 u
= 4 u
Amount that Eric had left
= 9 u - 4 u
= 5 u
5 u = 125
1 u = 125 ÷ 5 = 25
Price of the necklace
= 2 u + 4 u
= 6 u
= 6 x 25
= $150
Answer(s): $150
