Gabby and Carl had a total of $172. After Gabby spent
25 of her money and Carl spent $2, the ratio of Gabby's money to Kennenth's money became 1 : 4. How much money had Carl at first?
| |
Gabby |
Carl |
Total |
| Before |
5 u |
12 u + $2 |
$172 |
| Change |
- 2 u |
- $2 |
|
| After |
3 u |
|
|
Comparing Gabby and
Carl in the end |
1x3 =
3 u |
4x3 =
12 u |
|
The amount that Gabby had in the end is repeated. Make the amount that Gabby had in the end the same. LCM of 3 and 1 is 3.
Total amount that Gabby and Carl had at first
= 5 u + 12 u + 2
= 17 u + 2
17 u + 2 = 172
17 u = 172 - 2
17 u = 170
1 u = 170 ÷ 17 = 10
Amount that Carl had at first
= 12 u + 2
= 12 x 10 + 2
= 120 + 2
= $122
Answer(s): $122
