Linda had $495 less than Valen. Valen spent 0.6 of his money and Linda spent 0.4 of her money. In the end, Valen and Linda had the same amount of money left. Find the amount of money Linda had at first.
| |
Linda |
Valen |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Valen's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Linda's amount left
= 1 -
25 =
35 The amount that Valen and Linda each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Valen's amount =
35 of Linda's amount
615 of Valen's amount =
610 of Linda's amount
Amount that Linda had less than Valen
= 15 u - 10 u
= 5 u
5 u = 495
1 u = 495 ÷ 5 = 99
Amount that Linda had at first
= 10 u
= 10 x 99
= $990
Answer(s): $990
