Glen's salary to Perry's salary is 3 : 4. The former saves $750 while the latter saves $740. If Perry's spending to Glen's spending is in the ratio of 5 : 3, what are Glen's and Perry's salaries respectively?
- Glen
- Perry
| Glen's salary |
Perry's salary |
| 3 u |
4 u |
| Savings |
Spending |
Savings |
Spending |
| $750 |
3 p |
$740 |
5 p |
750 + 3 p = 3 u --- (1)
740 + 5 p = 4 u --- (2)
Make p the same.
(1)
x 53750 +
15 p = 15 u
15 p = 15 u - 3750 --- (3)
(2)
x 32220 +
15 p = 12 u
15 p = 12 u - 2220 --- (4)
(3) = (4)
15 u - 3750 = 12 u - 2220
15 u - 12 u = 3750 - 2220
3 u = 1530
1 u = 1530 ÷ 3 = 510
(a)
Glen's salary
= 3 u
= 3 x 510
= $1530
(b)
Perry's salary
= 4 u
= 4 x 510
= $2040
Answer(s): (a) $1530; (b) $2040
