Betty and Owen had a total of $152. After Betty spent
57 of her money and Owen spent $16, the ratio of Betty's money to Kennenth's money became 1 : 5. How much money had Owen at first?
| |
Betty |
Owen |
Total |
| Before |
7 u |
10 u + $16 |
$152 |
| Change |
- 5 u |
- $16 |
|
| After |
2 u |
|
|
Comparing Betty and
Owen in the end |
1x2 =
2 u |
5x2 =
10 u |
|
The amount that Betty had in the end is repeated. Make the amount that Betty had in the end the same. LCM of 2 and 1 is 2.
Total amount that Betty and Owen had at first
= 7 u + 10 u + 16
= 17 u + 16
17 u + 16 = 152
17 u = 152 - 16
17 u = 136
1 u = 136 ÷ 17 = 8
Amount that Owen had at first
= 10 u + 16
= 10 x 8 + 16
= 80 + 16
= $96
Answer(s): $96
