George's salary to Zane's salary is 5 : 6. The former saves $1750 while the latter saves $1700. If Zane's spending to George's spending is in the ratio of 8 : 5, what are George's and Zane's salaries respectively?
- George
- Zane
| George's salary |
Zane's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1750 |
5 p |
$1700 |
8 p |
1750 + 5 p = 5 u --- (1)
1700 + 8 p = 6 u --- (2)
Make p the same.
(1)
x 814000 +
40 p = 40 u
40 p = 40 u - 14000 --- (3)
(2)
x 58500 +
40 p = 30 u
40 p = 30 u - 8500 --- (4)
(3) = (4)
40 u - 14000 = 30 u - 8500
40 u - 30 u = 14000 - 8500
10 u = 5500
1 u = 5500 ÷ 10 = 550
(a)
George's salary
= 5 u
= 5 x 550
= $2750
(b)
Zane's salary
= 6 u
= 6 x 550
= $3300
Answer(s): (a) $2750; (b) $3300
