Tommy's salary to George's salary is 5 : 7. The former saves $2550 while the latter saves $3490. If George's spending to Tommy's spending is in the ratio of 5 : 3, what are Tommy's and George's salaries respectively?
- Tommy
- George
| Tommy's salary |
George's salary |
| 5 u |
7 u |
| Savings |
Spending |
Savings |
Spending |
| $2550 |
3 p |
$3490 |
5 p |
2550 + 3 p = 5 u --- (1)
3490 + 5 p = 7 u --- (2)
Make p the same.
(1)
x 512750 +
15 p = 25 u
15 p = 25 u - 12750 --- (3)
(2)
x 310470 +
15 p = 21 u
15 p = 21 u - 10470 --- (4)
(3) = (4)
25 u - 12750 = 21 u - 10470
25 u - 21 u = 12750 - 10470
4 u = 2280
1 u = 2280 ÷ 4 = 570
(a)
Tommy's salary
= 5 u
= 5 x 570
= $2850
(b)
George's salary
= 7 u
= 7 x 570
= $3990
Answer(s): (a) $2850; (b) $3990
