Valen's salary to Dylan's salary is 5 : 6. The former saves $2730 while the latter saves $3210. If Dylan's spending to Valen's spending is in the ratio of 3 : 2, what are Valen's and Dylan's salaries respectively?
- Valen
- Dylan
| Valen's salary |
Dylan's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2730 |
2 p |
$3210 |
3 p |
2730 + 2 p = 5 u --- (1)
3210 + 3 p = 6 u --- (2)
Make p the same.
(1)
x 38190 +
6 p = 15 u
6 p = 15 u - 8190 --- (3)
(2)
x 26420 +
6 p = 12 u
6 p = 12 u - 6420 --- (4)
(3) = (4)
15 u - 8190 = 12 u - 6420
15 u - 12 u = 8190 - 6420
3 u = 1770
1 u = 1770 ÷ 3 = 590
(a)
Valen's salary
= 5 u
= 5 x 590
= $2950
(b)
Dylan's salary
= 6 u
= 6 x 590
= $3540
Answer(s): (a) $2950; (b) $3540
