Risa had $713 less than Kathy. Kathy spent
58 of her money and Risa spent
23 of her money. In the end, Kathy had 4 times as much as Risa. Find the amount of money Kathy had at first.
| |
Kathy |
Risa |
Comparing Kathy
and Risa at first |
$713 more |
|
| Before |
8x4 =
32 u |
3x3 =
9 u |
| Change |
- 5x4 =
- 20 u |
- 2x3 =
- 6 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Kathy
and Risa in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Kathy had in the end is repeated. Make the amount that Kathy had in the end the same. LCM of 4 and 3 is 12.
Amount that Risa had less than Kathy
= 32 u - 9 u
= 23 u
23 u = 713
1 u = 713 ÷ 23 = 31
Amount that Kathy had at first
= 32 u
= 32 x 31
= $992
Answer(s): $992
