Winnie had $475 less than Jack. Jack spent 0.6 of his money and Winnie spent 0.2 of her money. In the end, Jack and Winnie had the same amount of money left. Find the amount of money Winnie had at first.
| |
Winnie |
Jack |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of Jack's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Winnie's amount left
= 1 -
15 =
45 The amount that Jack and Winnie each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of Jack's amount =
45 of Winnie's amount
410 of Jack's amount =
45 of Winnie's amount
Amount that Winnie had less than Jack
= 10 u - 5 u
= 5 u
5 u = 475
1 u = 475 ÷ 5 = 95
Amount that Winnie had at first
= 5 u
= 5 x 95
= $475
Answer(s): $475
