Tommy's salary to Charlie's salary is 5 : 7. The former saves $2260 while the latter saves $3060. If Charlie's spending to Tommy's spending is in the ratio of 5 : 3, what are Tommy's and Charlie's salaries respectively?
- Tommy
- Charlie
| Tommy's salary |
Charlie's salary |
| 5 u |
7 u |
| Savings |
Spending |
Savings |
Spending |
| $2260 |
3 p |
$3060 |
5 p |
2260 + 3 p = 5 u --- (1)
3060 + 5 p = 7 u --- (2)
Make p the same.
(1)
x 511300 +
15 p = 25 u
15 p = 25 u - 11300 --- (3)
(2)
x 39180 +
15 p = 21 u
15 p = 21 u - 9180 --- (4)
(3) = (4)
25 u - 11300 = 21 u - 9180
25 u - 21 u = 11300 - 9180
4 u = 2120
1 u = 2120 ÷ 4 = 530
(a)
Tommy's salary
= 5 u
= 5 x 530
= $2650
(b)
Charlie's salary
= 7 u
= 7 x 530
= $3710
Answer(s): (a) $2650; (b) $3710
