Tom's salary to Daniel's salary is 5 : 6. The former saves $1750 while the latter saves $1910. If Daniel's spending to Tom's spending is in the ratio of 7 : 5, what are Tom's and Daniel's salaries respectively?
- Tom
- Daniel
| Tom's salary |
Daniel's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1750 |
5 p |
$1910 |
7 p |
1750 + 5 p = 5 u --- (1)
1910 + 7 p = 6 u --- (2)
Make p the same.
(1)
x 712250 +
35 p = 35 u
35 p = 35 u - 12250 --- (3)
(2)
x 59550 +
35 p = 30 u
35 p = 30 u - 9550 --- (4)
(3) = (4)
35 u - 12250 = 30 u - 9550
35 u - 30 u = 12250 - 9550
5 u = 2700
1 u = 2700 ÷ 5 = 540
(a)
Tom's salary
= 5 u
= 5 x 540
= $2700
(b)
Daniel's salary
= 6 u
= 6 x 540
= $3240
Answer(s): (a) $2700; (b) $3240
