Ben's salary to Fabian's salary is 5 : 6. The former saves $1000 while the latter saves $970. If Fabian's spending to Ben's spending is in the ratio of 7 : 5, what are Ben's and Fabian's salaries respectively?
- Ben
- Fabian
| Ben's salary |
Fabian's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1000 |
5 p |
$970 |
7 p |
1000 + 5 p = 5 u --- (1)
970 + 7 p = 6 u --- (2)
Make p the same.
(1)
x 77000 +
35 p = 35 u
35 p = 35 u - 7000 --- (3)
(2)
x 54850 +
35 p = 30 u
35 p = 30 u - 4850 --- (4)
(3) = (4)
35 u - 7000 = 30 u - 4850
35 u - 30 u = 7000 - 4850
5 u = 2150
1 u = 2150 ÷ 5 = 430
(a)
Ben's salary
= 5 u
= 5 x 430
= $2150
(b)
Fabian's salary
= 6 u
= 6 x 430
= $2580
Answer(s): (a) $2150; (b) $2580
