Valen's salary to Bryan's salary is 4 : 5. The former saves $1560 while the latter saves $1860. If Bryan's spending to Valen's spending is in the ratio of 3 : 2, what are Valen's and Bryan's salaries respectively?
- Valen
- Bryan
| Valen's salary |
Bryan's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1560 |
2 p |
$1860 |
3 p |
1560 + 2 p = 4 u --- (1)
1860 + 3 p = 5 u --- (2)
Make p the same.
(1)
x 34680 +
6 p = 12 u
6 p = 12 u - 4680 --- (3)
(2)
x 23720 +
6 p = 10 u
6 p = 10 u - 3720 --- (4)
(3) = (4)
12 u - 4680 = 10 u - 3720
12 u - 10 u = 4680 - 3720
2 u = 960
1 u = 960 ÷ 2 = 480
(a)
Valen's salary
= 4 u
= 4 x 480
= $1920
(b)
Bryan's salary
= 5 u
= 5 x 480
= $2400
Answer(s): (a) $1920; (b) $2400
