Ethan's salary to Michael's salary is 5 : 6. The former saves $2320 while the latter saves $2490. If Michael's spending to Ethan's spending is in the ratio of 5 : 3, what are Ethan's and Michael's salaries respectively?
- Ethan
- Michael
| Ethan's salary |
Michael's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2320 |
3 p |
$2490 |
5 p |
2320 + 3 p = 5 u --- (1)
2490 + 5 p = 6 u --- (2)
Make p the same.
(1)
x 511600 +
15 p = 25 u
15 p = 25 u - 11600 --- (3)
(2)
x 37470 +
15 p = 18 u
15 p = 18 u - 7470 --- (4)
(3) = (4)
25 u - 11600 = 18 u - 7470
25 u - 18 u = 11600 - 7470
7 u = 4130
1 u = 4130 ÷ 7 = 590
(a)
Ethan's salary
= 5 u
= 5 x 590
= $2950
(b)
Michael's salary
= 6 u
= 6 x 590
= $3540
Answer(s): (a) $2950; (b) $3540
