Jean had $192 more than Usha. Jean spent
27 of her money and Usha spent
34 of her money. In the end, Jean had 4 times as much as Usha. Find the amount of money Usha had at first.
| |
Jean |
Usha |
Comparing Jean
and Usha at first |
$192 more |
|
| Before |
7x4 =
28 u |
4x5 =
20 u |
| Change |
- 2x4 =
- 8 u |
- 3x5 =
- 15 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Jean
and Usha in the end |
4x5 =
20 u |
1x5 =
5 u |
The amount that Jean had in the end is repeated. Make the amount that Jean had in the end the same. LCM of 4 and 5 is 20.
Amount that Jean had more than Usha
= 28 u - 20 u
= 8 u
8 u = 192
1 u = 192 ÷ 8 = 24
Amount that Usha had at first
= 20 u
= 20 x 24
= $480
Answer(s): $480
