Kathy had $390 less than Julie. Julie spent
27 of her money and Kathy spent
23 of her money. In the end, Julie had 4 times as much as Kathy. Find the amount of money Julie had at first.
|
Julie |
Kathy |
Comparing Julie and Kathy at first |
$390 more |
|
Before |
7x4 = 28 u |
3x5 = 15 u |
Change |
- 2x4 = - 8 u |
- 2x5 = - 10 u |
After |
5x4 = 20 u |
1x5 = 5 u |
Comparing Julie and Kathy in the end |
4x5 = 20 u |
1x5 = 5 u |
The amount that Julie had in the end is repeated. Make the amount that Julie had in the end the same. LCM of 4 and 5 is 20.
Amount that Kathy had less than Julie
= 28 u - 15 u
= 13 u
13 u = 390
1 u = 390 ÷ 13 = 30
Amount that Julie had at first
= 28 u
= 28 x 30
= $840
Answer(s): $840