Tommy's salary to Jack's salary is 5 : 7. The former saves $2100 while the latter saves $2820. If Jack's spending to Tommy's spending is in the ratio of 8 : 5, what are Tommy's and Jack's salaries respectively?
- Tommy
- Jack
| Tommy's salary |
Jack's salary |
| 5 u |
7 u |
| Savings |
Spending |
Savings |
Spending |
| $2100 |
5 p |
$2820 |
8 p |
2100 + 5 p = 5 u --- (1)
2820 + 8 p = 7 u --- (2)
Make p the same.
(1)
x 816800 +
40 p = 40 u
40 p = 40 u - 16800 --- (3)
(2)
x 514100 +
40 p = 35 u
40 p = 35 u - 14100 --- (4)
(3) = (4)
40 u - 16800 = 35 u - 14100
40 u - 35 u = 16800 - 14100
5 u = 2700
1 u = 2700 ÷ 5 = 540
(a)
Tommy's salary
= 5 u
= 5 x 540
= $2700
(b)
Jack's salary
= 7 u
= 7 x 540
= $3780
Answer(s): (a) $2700; (b) $3780
