George's salary to Jack's salary is 5 : 6. The former saves $1620 while the latter saves $1830. If Jack's spending to George's spending is in the ratio of 3 : 2, what are George's and Jack's salaries respectively?
- George
- Jack
| George's salary |
Jack's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1620 |
2 p |
$1830 |
3 p |
1620 + 2 p = 5 u --- (1)
1830 + 3 p = 6 u --- (2)
Make p the same.
(1)
x 34860 +
6 p = 15 u
6 p = 15 u - 4860 --- (3)
(2)
x 23660 +
6 p = 12 u
6 p = 12 u - 3660 --- (4)
(3) = (4)
15 u - 4860 = 12 u - 3660
15 u - 12 u = 4860 - 3660
3 u = 1200
1 u = 1200 ÷ 3 = 400
(a)
George's salary
= 5 u
= 5 x 400
= $2000
(b)
Jack's salary
= 6 u
= 6 x 400
= $2400
Answer(s): (a) $2000; (b) $2400
