Usha had $350 less than Howard. Howard spent 0.9 of his money and Usha spent 0.4 of her money. In the end, Howard and Usha had the same amount of money left. Find the amount of money Usha had at first.
| |
Usha |
Howard |
Difference |
| Before |
5 u |
30 u |
25 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.9 =
910 Fraction of Howard's amount left
= 1 -
910 =
110 0.4 =
25 Fraction of Usha's amount left
= 1 -
25 =
35 The amount that Howard and Usha each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
110 of Howard's amount =
35 of Usha's amount
330 of Howard's amount =
35 of Usha's amount
Amount that Usha had less than Howard
= 30 u - 5 u
= 25 u
25 u = 350
1 u = 350 ÷ 25 = 14
Amount that Usha had at first
= 5 u
= 5 x 14
= $70
Answer(s): $70
