Michael's salary to Henry's salary is 5 : 7. The former saves $1480 while the latter saves $1920. If Henry's spending to Michael's spending is in the ratio of 5 : 3, what are Michael's and Henry's salaries respectively?
- Michael
- Henry
| Michael's salary |
Henry's salary |
| 5 u |
7 u |
| Savings |
Spending |
Savings |
Spending |
| $1480 |
3 p |
$1920 |
5 p |
1480 + 3 p = 5 u --- (1)
1920 + 5 p = 7 u --- (2)
Make p the same.
(1)
x 57400 +
15 p = 25 u
15 p = 25 u - 7400 --- (3)
(2)
x 35760 +
15 p = 21 u
15 p = 21 u - 5760 --- (4)
(3) = (4)
25 u - 7400 = 21 u - 5760
25 u - 21 u = 7400 - 5760
4 u = 1640
1 u = 1640 ÷ 4 = 410
(a)
Michael's salary
= 5 u
= 5 x 410
= $2050
(b)
Henry's salary
= 7 u
= 7 x 410
= $2870
Answer(s): (a) $2050; (b) $2870
