Rachel and Carl had a total of $52. After Rachel spent
57 of her money and Carl spent $18, the ratio of Rachel's money to Kennenth's money became 1 : 5. How much money had Carl at first?
| |
Rachel |
Carl |
Total |
| Before |
7 u |
10 u + $18 |
$52 |
| Change |
- 5 u |
- $18 |
|
| After |
2 u |
|
|
Comparing Rachel and
Carl in the end |
1x2 =
2 u |
5x2 =
10 u |
|
The amount that Rachel had in the end is repeated. Make the amount that Rachel had in the end the same. LCM of 2 and 1 is 2.
Total amount that Rachel and Carl had at first
= 7 u + 10 u + 18
= 17 u + 18
17 u + 18 = 52
17 u = 52 - 18
17 u = 34
1 u = 34 ÷ 17 = 2
Amount that Carl had at first
= 10 u + 18
= 10 x 2 + 18
= 20 + 18
= $38
Answer(s): $38
