Seth's salary to Peter's salary is 5 : 6. The former saves $1690 while the latter saves $1860. If Peter's spending to Seth's spending is in the ratio of 3 : 2, what are Seth's and Peter's salaries respectively?
- Seth
- Peter
| Seth's salary |
Peter's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1690 |
2 p |
$1860 |
3 p |
1690 + 2 p = 5 u --- (1)
1860 + 3 p = 6 u --- (2)
Make p the same.
(1)
x 35070 +
6 p = 15 u
6 p = 15 u - 5070 --- (3)
(2)
x 23720 +
6 p = 12 u
6 p = 12 u - 3720 --- (4)
(3) = (4)
15 u - 5070 = 12 u - 3720
15 u - 12 u = 5070 - 3720
3 u = 1350
1 u = 1350 ÷ 3 = 450
(a)
Seth's salary
= 5 u
= 5 x 450
= $2250
(b)
Peter's salary
= 6 u
= 6 x 450
= $2700
Answer(s): (a) $2250; (b) $2700
