Jean had $310 less than Michael. Michael spent 0.8 of his money and Jean spent 0.4 of her money. In the end, Michael and Jean had the same amount of money left. Find the amount of money Jean had at first.
| |
Jean |
Michael |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Michael's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Jean's amount left
= 1 -
25 =
35 The amount that Michael and Jean each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Michael's amount =
35 of Jean's amount
315 of Michael's amount =
35 of Jean's amount
Amount that Jean had less than Michael
= 15 u - 5 u
= 10 u
10 u = 310
1 u = 310 ÷ 10 = 31
Amount that Jean had at first
= 5 u
= 5 x 31
= $155
Answer(s): $155
