Fabian's salary to Fred's salary is 5 : 6. The former saves $2340 while the latter saves $2640. If Fred's spending to Fabian's spending is in the ratio of 5 : 3, what are Fabian's and Fred's salaries respectively?
- Fabian
- Fred
| Fabian's salary |
Fred's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2340 |
3 p |
$2640 |
5 p |
2340 + 3 p = 5 u --- (1)
2640 + 5 p = 6 u --- (2)
Make p the same.
(1)
x 511700 +
15 p = 25 u
15 p = 25 u - 11700 --- (3)
(2)
x 37920 +
15 p = 18 u
15 p = 18 u - 7920 --- (4)
(3) = (4)
25 u - 11700 = 18 u - 7920
25 u - 18 u = 11700 - 7920
7 u = 3780
1 u = 3780 ÷ 7 = 540
(a)
Fabian's salary
= 5 u
= 5 x 540
= $2700
(b)
Fred's salary
= 6 u
= 6 x 540
= $3240
Answer(s): (a) $2700; (b) $3240
