Cathy's salary to Shannon's salary is 2 : 9. If Cathy spends
56 of her salary, Shannon will have $780 more than her. How much salary does Cathy have?
|
Cathy |
Shannon |
Comparing Cathy and Shannon at first |
2x3 = 6 u |
9x3 = 27 u |
Before |
6x1 = 6 u |
|
Change |
- 5x1 = - 5 u |
|
After |
1x1 = 1 u |
27 u |
Comparing Cathy and Shannon in the end |
|
$780 more |
Cathy's salary at first is repeated. Make Cathy's salary at first the same. LCM of 2 and 6 is 6.
Amount that Shannon will have more than Cathy in the end
= 27 u - 1 u
= 26 u
26 u = 780
1 u = 780 ÷ 26 = 30
Cathy's salary
= 6 u
= 6 x 30
= $180
Answer(s): $180