Kathy had $370 less than Ivan. Ivan spent 0.8 of his money and Kathy spent 0.4 of her money. In the end, Ivan and Kathy had the same amount of money left. Find the amount of money Kathy had at first.
| |
Kathy |
Ivan |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Ivan's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Kathy's amount left
= 1 -
25 =
35 The amount that Ivan and Kathy each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Ivan's amount =
35 of Kathy's amount
315 of Ivan's amount =
35 of Kathy's amount
Amount that Kathy had less than Ivan
= 15 u - 5 u
= 10 u
10 u = 370
1 u = 370 ÷ 10 = 37
Amount that Kathy had at first
= 5 u
= 5 x 37
= $185
Answer(s): $185
