Kathy's salary to Betty's salary is 4 : 7. If Kathy spends
57 of her salary, Betty will have $820 more than her. How much salary does Kathy have?
| |
Kathy |
Betty |
Comparing Kathy
and Betty at first |
4x7 =
28 u |
7x7 =
49 u |
Before |
7x4 =
28 u |
|
Change |
- 5x4 =
- 20 u |
|
After |
2x4 =
8 u |
49 u |
Comparing Kathy
and Betty in the end |
|
$820 more |
Kathy's salary at first is repeated. Make Kathy's salary at first the same. LCM of 4 and 7 is 28.
Amount that Betty will have more than Kathy in the end
= 49 u - 8 u
= 41 u
41 u = 820
1 u = 820 ÷ 41 = 20
Kathy's salary
= 28 u
= 28 x 20
= $560
Answer(s): $560
