Irene had $440 less than Will. Will spent 0.8 of his money and Irene spent 0.4 of her money. In the end, Will and Irene had the same amount of money left. Find the amount of money Irene had at first.
| |
Irene |
Will |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Will's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Irene's amount left
= 1 -
25 =
35 The amount that Will and Irene each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Will's amount =
35 of Irene's amount
315 of Will's amount =
35 of Irene's amount
Amount that Irene had less than Will
= 15 u - 5 u
= 10 u
10 u = 440
1 u = 440 ÷ 10 = 44
Amount that Irene had at first
= 5 u
= 5 x 44
= $220
Answer(s): $220
