Owen's salary to Elijah's salary is 4 : 5. The former saves $2040 while the latter saves $2470. If Elijah's spending to Owen's spending is in the ratio of 3 : 2, what are Owen's and Elijah's salaries respectively?
- Owen
- Elijah
| Owen's salary |
Elijah's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $2040 |
2 p |
$2470 |
3 p |
2040 + 2 p = 4 u --- (1)
2470 + 3 p = 5 u --- (2)
Make p the same.
(1)
x 36120 +
6 p = 12 u
6 p = 12 u - 6120 --- (3)
(2)
x 24940 +
6 p = 10 u
6 p = 10 u - 4940 --- (4)
(3) = (4)
12 u - 6120 = 10 u - 4940
12 u - 10 u = 6120 - 4940
2 u = 1180
1 u = 1180 ÷ 2 = 590
(a)
Owen's salary
= 4 u
= 4 x 590
= $2360
(b)
Elijah's salary
= 5 u
= 5 x 590
= $2950
Answer(s): (a) $2360; (b) $2950
