Glen's salary to Eric's salary is 4 : 5. The former saves $1460 while the latter saves $1740. If Eric's spending to Glen's spending is in the ratio of 3 : 2, what are Glen's and Eric's salaries respectively?
- Glen
- Eric
| Glen's salary |
Eric's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1460 |
2 p |
$1740 |
3 p |
1460 + 2 p = 4 u --- (1)
1740 + 3 p = 5 u --- (2)
Make p the same.
(1)
x 34380 +
6 p = 12 u
6 p = 12 u - 4380 --- (3)
(2)
x 23480 +
6 p = 10 u
6 p = 10 u - 3480 --- (4)
(3) = (4)
12 u - 4380 = 10 u - 3480
12 u - 10 u = 4380 - 3480
2 u = 900
1 u = 900 ÷ 2 = 450
(a)
Glen's salary
= 4 u
= 4 x 450
= $1800
(b)
Eric's salary
= 5 u
= 5 x 450
= $2250
Answer(s): (a) $1800; (b) $2250
