Gabby and Fred had a total of $114. After Gabby spent
16 of her money and Fred spent $18, the ratio of Gabby's money to Kennenth's money became 1 : 2. How much money had Fred at first?
| |
Gabby |
Fred |
Total |
| Before |
6 u |
10 u + $18 |
$114 |
| Change |
- 1 u |
- $18 |
|
| After |
5 u |
|
|
Comparing Gabby and
Fred in the end |
1x5 =
5 u |
2x5 =
10 u |
|
The amount that Gabby had in the end is repeated. Make the amount that Gabby had in the end the same. LCM of 5 and 1 is 5.
Total amount that Gabby and Fred had at first
= 6 u + 10 u + 18
= 16 u + 18
16 u + 18 = 114
16 u = 114 - 18
16 u = 96
1 u = 96 ÷ 16 = 6
Amount that Fred had at first
= 10 u + 18
= 10 x 6 + 18
= 60 + 18
= $78
Answer(s): $78
