Valen's salary to Oliver's salary is 3 : 4. The former saves $500 while the latter saves $400. If Oliver's spending to Valen's spending is in the ratio of 8 : 5, what are Valen's and Oliver's salaries respectively?
- Valen
- Oliver
| Valen's salary |
Oliver's salary |
| 3 u |
4 u |
| Savings |
Spending |
Savings |
Spending |
| $500 |
5 p |
$400 |
8 p |
500 + 5 p = 3 u --- (1)
400 + 8 p = 4 u --- (2)
Make p the same.
(1)
x 84000 +
40 p = 24 u
40 p = 24 u - 4000 --- (3)
(2)
x 52000 +
40 p = 20 u
40 p = 20 u - 2000 --- (4)
(3) = (4)
24 u - 4000 = 20 u - 2000
24 u - 20 u = 4000 - 2000
4 u = 2000
1 u = 2000 ÷ 4 = 500
(a)
Valen's salary
= 3 u
= 3 x 500
= $1500
(b)
Oliver's salary
= 4 u
= 4 x 500
= $2000
Answer(s): (a) $1500; (b) $2000
