Julie had $345 less than Ivan. Ivan spent 0.6 of his money and Julie spent 0.2 of her money. In the end, Ivan and Julie had the same amount of money left. Find the amount of money Julie had at first.
| |
Julie |
Ivan |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of Ivan's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Julie's amount left
= 1 -
15 =
45 The amount that Ivan and Julie each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of Ivan's amount =
45 of Julie's amount
410 of Ivan's amount =
45 of Julie's amount
Amount that Julie had less than Ivan
= 10 u - 5 u
= 5 u
5 u = 345
1 u = 345 ÷ 5 = 69
Amount that Julie had at first
= 5 u
= 5 x 69
= $345
Answer(s): $345
