Rachel's salary is 80% more than Gabby's salary. When their salaries are increased by 30%, their combined salaries will be $7098. How much was Rachel's salary before the increase?
| |
Rachel |
Gabby |
Total |
| Before |
9 u |
5 u |
14 u |
| Change |
+ ? |
+ ? |
+ 4.2 u |
| After |
? |
? |
18.2 u
$7098 |
100% + 80% = 180%
RachelGabby =
180100 =
95 Combined salaries at first
= 9 u + 5 u
= 14 u
Increase in the combined salaries
= 30% x 14 u
=
30100 x 14 u
= 4.2 u
Combined salaries in the end
= 14 u + 4.2 u
= 18.2 u
18.2 u = 7098
1 u = 7098 ÷ 18.2 = 390
Rachel's salary before the increase
= 9 u
= 9 x 390
= $3510
Answer: $3510
