Cody's salary to Ivan's salary is 5 : 6. The former saves $2570 while the latter saves $2930. If Ivan's spending to Cody's spending is in the ratio of 5 : 3, what are Cody's and Ivan's salaries respectively?
- Cody
- Ivan
| Cody's salary |
Ivan's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2570 |
3 p |
$2930 |
5 p |
2570 + 3 p = 5 u --- (1)
2930 + 5 p = 6 u --- (2)
Make p the same.
(1)
x 512850 +
15 p = 25 u
15 p = 25 u - 12850 --- (3)
(2)
x 38790 +
15 p = 18 u
15 p = 18 u - 8790 --- (4)
(3) = (4)
25 u - 12850 = 18 u - 8790
25 u - 18 u = 12850 - 8790
7 u = 4060
1 u = 4060 ÷ 7 = 580
(a)
Cody's salary
= 5 u
= 5 x 580
= $2900
(b)
Ivan's salary
= 6 u
= 6 x 580
= $3480
Answer(s): (a) $2900; (b) $3480
