Lucy had $390 less than Jenson. Jenson spent 0.8 of his money and Lucy spent 0.4 of her money. In the end, Jenson and Lucy had the same amount of money left. Find the amount of money Lucy had at first.
| |
Lucy |
Jenson |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Jenson's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Lucy's amount left
= 1 -
25 =
35 The amount that Jenson and Lucy each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Jenson's amount =
35 of Lucy's amount
315 of Jenson's amount =
35 of Lucy's amount
Amount that Lucy had less than Jenson
= 15 u - 5 u
= 10 u
10 u = 390
1 u = 390 ÷ 10 = 39
Amount that Lucy had at first
= 5 u
= 5 x 39
= $195
Answer(s): $195
