George's salary to Tom's salary is 4 : 5. The former saves $1320 while the latter saves $1500. If Tom's spending to George's spending is in the ratio of 7 : 5, what are George's and Tom's salaries respectively?
- George
- Tom
| George's salary |
Tom's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1320 |
5 p |
$1500 |
7 p |
1320 + 5 p = 4 u --- (1)
1500 + 7 p = 5 u --- (2)
Make p the same.
(1)
x 79240 +
35 p = 28 u
35 p = 28 u - 9240 --- (3)
(2)
x 57500 +
35 p = 25 u
35 p = 25 u - 7500 --- (4)
(3) = (4)
28 u - 9240 = 25 u - 7500
28 u - 25 u = 9240 - 7500
3 u = 1740
1 u = 1740 ÷ 3 = 580
(a)
George's salary
= 4 u
= 4 x 580
= $2320
(b)
Tom's salary
= 5 u
= 5 x 580
= $2900
Answer(s): (a) $2320; (b) $2900
