Valen's salary to Tom's salary is 5 : 6. The former saves $1650 while the latter saves $1760. If Tom's spending to Valen's spending is in the ratio of 7 : 5, what are Valen's and Tom's salaries respectively?
- Valen
- Tom
| Valen's salary |
Tom's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1650 |
5 p |
$1760 |
7 p |
1650 + 5 p = 5 u --- (1)
1760 + 7 p = 6 u --- (2)
Make p the same.
(1)
x 711550 +
35 p = 35 u
35 p = 35 u - 11550 --- (3)
(2)
x 58800 +
35 p = 30 u
35 p = 30 u - 8800 --- (4)
(3) = (4)
35 u - 11550 = 30 u - 8800
35 u - 30 u = 11550 - 8800
5 u = 2750
1 u = 2750 ÷ 5 = 550
(a)
Valen's salary
= 5 u
= 5 x 550
= $2750
(b)
Tom's salary
= 6 u
= 6 x 550
= $3300
Answer(s): (a) $2750; (b) $3300
