Tom's salary to Michael's salary is 5 : 6. The former saves $1940 while the latter saves $2260. If Michael's spending to Tom's spending is in the ratio of 4 : 3, what are Tom's and Michael's salaries respectively?
- Tom
- Michael
| Tom's salary |
Michael's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1940 |
3 p |
$2260 |
4 p |
1940 + 3 p = 5 u --- (1)
2260 + 4 p = 6 u --- (2)
Make p the same.
(1)
x 47760 +
12 p = 20 u
12 p = 20 u - 7760 --- (3)
(2)
x 36780 +
12 p = 18 u
12 p = 18 u - 6780 --- (4)
(3) = (4)
20 u - 7760 = 18 u - 6780
20 u - 18 u = 7760 - 6780
2 u = 980
1 u = 980 ÷ 2 = 490
(a)
Tom's salary
= 5 u
= 5 x 490
= $2450
(b)
Michael's salary
= 6 u
= 6 x 490
= $2940
Answer(s): (a) $2450; (b) $2940
