Owen's salary to Flynn's salary is 5 : 6. The former saves $1900 while the latter saves $2070. If Flynn's spending to Owen's spending is in the ratio of 5 : 3, what are Owen's and Flynn's salaries respectively?
- Owen
- Flynn
| Owen's salary |
Flynn's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1900 |
3 p |
$2070 |
5 p |
1900 + 3 p = 5 u --- (1)
2070 + 5 p = 6 u --- (2)
Make p the same.
(1)
x 59500 +
15 p = 25 u
15 p = 25 u - 9500 --- (3)
(2)
x 36210 +
15 p = 18 u
15 p = 18 u - 6210 --- (4)
(3) = (4)
25 u - 9500 = 18 u - 6210
25 u - 18 u = 9500 - 6210
7 u = 3290
1 u = 3290 ÷ 7 = 470
(a)
Owen's salary
= 5 u
= 5 x 470
= $2350
(b)
Flynn's salary
= 6 u
= 6 x 470
= $2820
Answer(s): (a) $2350; (b) $2820
