Gem's salary to Kathy's salary is 5 : 9. If Gem spends
47 of her salary, she will have $5760 less than Kathy. How much salary does Kathy have?
| |
Gem |
Kathy |
Comparing Gem
and Kathy at first |
5x7 =
35 u |
9x7 =
63 u |
Before |
7x5 =
35 u |
|
Change |
- 4x5 =
- 20 u |
|
After |
3x5 =
15 u |
63 u |
Comparing Gem
and Kathy in the end |
|
$5760 less |
Gem's salary at first is repeated. Make Gem's salary at first the same. LCM of 5 and 7 is 35.
Amount that Gem will have less than Kathy in the end
= 63 u - 15 u
= 48 u
48 u = 5760
1 u = 5760 ÷ 48 = 120
Kathy's salary
= 63 u
= 63 x 120
= $7560
Answer(s): $7560
