Cindy's salary is 10% more than Gwen's salary. When their salaries are increased by 30%, their combined salaries will be $10647. How much was Cindy's salary before the increase?
|
Cindy |
Gwen |
Total |
Before |
11 u |
10 u |
21 u |
Change |
+ ? |
+ ? |
+ 6.3 u |
After |
? |
? |
27.3 u $10647 |
100% + 10% = 110%
CindyGwen =
110100 =
1110 Combined salaries at first
= 11 u + 10 u
= 21 u
Increase in the combined salaries
= 30% x 21 u
=
30100 x 21 u
= 6.3 u
Combined salaries in the end
= 21 u + 6.3 u
= 27.3 u
27.3 u = 10647
1 u = 10647 ÷ 27.3 = 390
Cindy's salary before the increase
= 11 u
= 11 x 390
= $4290
Answer: $4290