Fred's salary to Elijah's salary is 3 : 4. The former saves $740 while the latter saves $760. If Elijah's spending to Fred's spending is in the ratio of 8 : 5, what are Fred's and Elijah's salaries respectively?
- Fred
- Elijah
| Fred's salary |
Elijah's salary |
| 3 u |
4 u |
| Savings |
Spending |
Savings |
Spending |
| $740 |
5 p |
$760 |
8 p |
740 + 5 p = 3 u --- (1)
760 + 8 p = 4 u --- (2)
Make p the same.
(1)
x 85920 +
40 p = 24 u
40 p = 24 u - 5920 --- (3)
(2)
x 53800 +
40 p = 20 u
40 p = 20 u - 3800 --- (4)
(3) = (4)
24 u - 5920 = 20 u - 3800
24 u - 20 u = 5920 - 3800
4 u = 2120
1 u = 2120 ÷ 4 = 530
(a)
Fred's salary
= 3 u
= 3 x 530
= $1590
(b)
Elijah's salary
= 4 u
= 4 x 530
= $2120
Answer(s): (a) $1590; (b) $2120
