John's salary to Flynn's salary is 5 : 7. The former saves $2500 while the latter saves $3420. If Flynn's spending to John's spending is in the ratio of 5 : 3, what are John's and Flynn's salaries respectively?
- John
- Flynn
| John's salary |
Flynn's salary |
| 5 u |
7 u |
| Savings |
Spending |
Savings |
Spending |
| $2500 |
3 p |
$3420 |
5 p |
2500 + 3 p = 5 u --- (1)
3420 + 5 p = 7 u --- (2)
Make p the same.
(1)
x 512500 +
15 p = 25 u
15 p = 25 u - 12500 --- (3)
(2)
x 310260 +
15 p = 21 u
15 p = 21 u - 10260 --- (4)
(3) = (4)
25 u - 12500 = 21 u - 10260
25 u - 21 u = 12500 - 10260
4 u = 2240
1 u = 2240 ÷ 4 = 560
(a)
John's salary
= 5 u
= 5 x 560
= $2800
(b)
Flynn's salary
= 7 u
= 7 x 560
= $3920
Answer(s): (a) $2800; (b) $3920
