Betty and Peter had a total of $123. After Betty spent
14 of her money and Peter spent $9, the ratio of Betty's money to Kennenth's money became 1 : 5. How much money had Peter at first?
| |
Betty |
Peter |
Total |
| Before |
4 u |
15 u + $9 |
$123 |
| Change |
- 1 u |
- $9 |
|
| After |
3 u |
|
|
Comparing Betty and
Peter in the end |
1x3 =
3 u |
5x3 =
15 u |
|
The amount that Betty had in the end is repeated. Make the amount that Betty had in the end the same. LCM of 3 and 1 is 3.
Total amount that Betty and Peter had at first
= 4 u + 15 u + 9
= 19 u + 9
19 u + 9 = 123
19 u = 123 - 9
19 u = 114
1 u = 114 ÷ 19 = 6
Amount that Peter had at first
= 15 u + 9
= 15 x 6 + 9
= 90 + 9
= $99
Answer(s): $99
