Penelope's salary is 10% more than Emma's salary. When their salaries are increased by 30%, their combined salaries will be $8190. How much was Penelope's salary before the increase?
| |
Penelope |
Emma |
Total |
| Before |
11 u |
10 u |
21 u |
| Change |
+ ? |
+ ? |
+ 6.3 u |
| After |
? |
? |
27.3 u
$8190 |
100% + 10% = 110%
PenelopeEmma =
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 = 8190
1 u = 8190 ÷ 27.3 = 300
Penelope's salary before the increase
= 11 u
= 11 x 300
= $3300
Answer: $3300
