Zoe had $360 less than Ivan. Ivan spent 0.8 of his money and Zoe spent 0.4 of her money. In the end, Ivan and Zoe had the same amount of money left. Find the amount of money Zoe had at first.
| |
Zoe |
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 Zoe's amount left
= 1 -
25 =
35 The amount that Ivan and Zoe 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 Zoe's amount
315 of Ivan's amount =
35 of Zoe's amount
Amount that Zoe had less than Ivan
= 15 u - 5 u
= 10 u
10 u = 360
1 u = 360 ÷ 10 = 36
Amount that Zoe had at first
= 5 u
= 5 x 36
= $180
Answer(s): $180
