Lucy had $380 less than Perry. Perry spent 0.8 of his money and Lucy spent 0.4 of her money. In the end, Perry and Lucy had the same amount of money left. Find the amount of money Lucy had at first.
| |
Lucy |
Perry |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Perry's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Lucy's amount left
= 1 -
25 =
35 The amount that Perry and Lucy each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Perry's amount =
35 of Lucy's amount
315 of Perry's amount =
35 of Lucy's amount
Amount that Lucy had less than Perry
= 15 u - 5 u
= 10 u
10 u = 380
1 u = 380 ÷ 10 = 38
Amount that Lucy had at first
= 5 u
= 5 x 38
= $190
Answer(s): $190
