Winnie and Sean had a total of $116. After Winnie spent
25 of her money and Sean spent $14, the ratio of Winnie's money to Kennenth's money became 1 : 4. How much money had Sean at first?
| |
Winnie |
Sean |
Total |
| Before |
5 u |
12 u + $14 |
$116 |
| Change |
- 2 u |
- $14 |
|
| After |
3 u |
|
|
Comparing Winnie and
Sean in the end |
1x3 =
3 u |
4x3 =
12 u |
|
The amount that Winnie had in the end is repeated. Make the amount that Winnie had in the end the same. LCM of 3 and 1 is 3.
Total amount that Winnie and Sean had at first
= 5 u + 12 u + 14
= 17 u + 14
17 u + 14 = 116
17 u = 116 - 14
17 u = 102
1 u = 102 ÷ 17 = 6
Amount that Sean had at first
= 12 u + 14
= 12 x 6 + 14
= 72 + 14
= $86
Answer(s): $86
