Oscar's salary to Ben's salary is 5 : 7. The former saves $1900 while the latter saves $2580. If Ben's spending to Oscar's spending is in the ratio of 5 : 3, what are Oscar's and Ben's salaries respectively?
- Oscar
- Ben
| Oscar's salary |
Ben's salary |
| 5 u |
7 u |
| Savings |
Spending |
Savings |
Spending |
| $1900 |
3 p |
$2580 |
5 p |
1900 + 3 p = 5 u --- (1)
2580 + 5 p = 7 u --- (2)
Make p the same.
(1)
x 59500 +
15 p = 25 u
15 p = 25 u - 9500 --- (3)
(2)
x 37740 +
15 p = 21 u
15 p = 21 u - 7740 --- (4)
(3) = (4)
25 u - 9500 = 21 u - 7740
25 u - 21 u = 9500 - 7740
4 u = 1760
1 u = 1760 ÷ 4 = 440
(a)
Oscar's salary
= 5 u
= 5 x 440
= $2200
(b)
Ben's salary
= 7 u
= 7 x 440
= $3080
Answer(s): (a) $2200; (b) $3080
