Erika and Charlie had a total of $114. After Erika spent
13 of her money and Charlie spent $9, the ratio of Erika's money to Kennenth's money became 1 : 6. How much money had Charlie at first?
| |
Erika |
Charlie |
Total |
| Before |
3 u |
12 u + $9 |
$114 |
| Change |
- 1 u |
- $9 |
|
| After |
2 u |
|
|
Comparing Erika and
Charlie in the end |
1x2 =
2 u |
6x2 =
12 u |
|
The amount that Erika had in the end is repeated. Make the amount that Erika had in the end the same. LCM of 2 and 1 is 2.
Total amount that Erika and Charlie had at first
= 3 u + 12 u + 9
= 15 u + 9
15 u + 9 = 114
15 u = 114 - 9
15 u = 105
1 u = 105 ÷ 15 = 7
Amount that Charlie had at first
= 12 u + 9
= 12 x 7 + 9
= 84 + 9
= $93
Answer(s): $93
