Irene had $300 less than Archie. Archie spent 0.8 of his money and Irene spent 0.4 of her money. In the end, Archie and Irene had the same amount of money left. Find the amount of money Irene had at first.
| |
Irene |
Archie |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Archie's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Irene's amount left
= 1 -
25 =
35 The amount that Archie and Irene each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Archie's amount =
35 of Irene's amount
315 of Archie's amount =
35 of Irene's amount
Amount that Irene had less than Archie
= 15 u - 5 u
= 10 u
10 u = 300
1 u = 300 ÷ 10 = 30
Amount that Irene had at first
= 5 u
= 5 x 30
= $150
Answer(s): $150
