Tim's salary to Vaidev's salary is 5 : 6. The former saves $1050 while the latter saves $1000. If Vaidev's spending to Tim's spending is in the ratio of 7 : 5, what are Tim's and Vaidev's salaries respectively?
- Tim
- Vaidev
| Tim's salary |
Vaidev's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1050 |
5 p |
$1000 |
7 p |
1050 + 5 p = 5 u --- (1)
1000 + 7 p = 6 u --- (2)
Make p the same.
(1)
x 77350 +
35 p = 35 u
35 p = 35 u - 7350 --- (3)
(2)
x 55000 +
35 p = 30 u
35 p = 30 u - 5000 --- (4)
(3) = (4)
35 u - 7350 = 30 u - 5000
35 u - 30 u = 7350 - 5000
5 u = 2350
1 u = 2350 ÷ 5 = 470
(a)
Tim's salary
= 5 u
= 5 x 470
= $2350
(b)
Vaidev's salary
= 6 u
= 6 x 470
= $2820
Answer(s): (a) $2350; (b) $2820
