Kimberly had $931 more than Kathy. Kimberly spent
47 of her money and Kathy spent
23 of her money. In the end, Kimberly had 4 times as much as Kathy. Find the amount of money Kathy had at first.
|
Kimberly |
Kathy |
Comparing Kimberly and Kathy at first |
$931 more |
|
Before |
7x4 = 28 u |
3x3 = 9 u |
Change |
- 4x4 = - 16 u |
- 2x3 = - 6 u |
After |
3x4 = 12 u |
1x3 = 3 u |
Comparing Kimberly and Kathy in the end |
4x3 = 12 u |
1x3 = 3 u |
The amount that Kimberly had in the end is repeated. Make the amount that Kimberly had in the end the same. LCM of 4 and 3 is 12.
Amount that Kimberly had more than Kathy
= 28 u - 9 u
= 19 u
19 u = 931
1 u = 931 ÷ 19 = 49
Amount that Kathy had at first
= 9 u
= 9 x 49
= $441
Answer(s): $441