Usha had $405 less than George. George spent 0.6 of his money and Usha spent 0.3 of her money. In the end, George and Usha had the same amount of money left. Find the amount of money Usha had at first.
| |
Usha |
George |
Difference |
| Before |
20 u |
35 u |
15 u |
| Change |
- 2 u |
- 7 u |
|
| After |
14 u |
14 u |
|
0.6 =
35 Fraction of George's amount left
= 1 -
35 =
25 0.3 =
310 Fraction of Usha's amount left
= 1 -
310 =
710 The amount that George and Usha each had in the end is the same. Make the numerators the same. LCM of 2 and 7 is 14.
25 of George's amount =
710 of Usha's amount
1435 of George's amount =
1420 of Usha's amount
Amount that Usha had less than George
= 35 u - 20 u
= 15 u
15 u = 405
1 u = 405 ÷ 15 = 27
Amount that Usha had at first
= 20 u
= 20 x 27
= $540
Answer(s): $540
