Cody's salary to George's salary is 5 : 7. The former saves $1650 while the latter saves $2110. If George's spending to Cody's spending is in the ratio of 8 : 5, what are Cody's and George's salaries respectively?
- Cody
- George
| Cody's salary |
George's salary |
| 5 u |
7 u |
| Savings |
Spending |
Savings |
Spending |
| $1650 |
5 p |
$2110 |
8 p |
1650 + 5 p = 5 u --- (1)
2110 + 8 p = 7 u --- (2)
Make p the same.
(1)
x 813200 +
40 p = 40 u
40 p = 40 u - 13200 --- (3)
(2)
x 510550 +
40 p = 35 u
40 p = 35 u - 10550 --- (4)
(3) = (4)
40 u - 13200 = 35 u - 10550
40 u - 35 u = 13200 - 10550
5 u = 2650
1 u = 2650 ÷ 5 = 530
(a)
Cody's salary
= 5 u
= 5 x 530
= $2650
(b)
George's salary
= 7 u
= 7 x 530
= $3710
Answer(s): (a) $2650; (b) $3710
