Lee's salary to Ivan's salary is 3 : 4. The former saves $640 while the latter saves $600. If Ivan's spending to Lee's spending is in the ratio of 8 : 5, what are Lee's and Ivan's salaries respectively?
- Lee
- Ivan
| Lee's salary |
Ivan's salary |
| 3 u |
4 u |
| Savings |
Spending |
Savings |
Spending |
| $640 |
5 p |
$600 |
8 p |
640 + 5 p = 3 u --- (1)
600 + 8 p = 4 u --- (2)
Make p the same.
(1)
x 85120 +
40 p = 24 u
40 p = 24 u - 5120 --- (3)
(2)
x 53000 +
40 p = 20 u
40 p = 20 u - 3000 --- (4)
(3) = (4)
24 u - 5120 = 20 u - 3000
24 u - 20 u = 5120 - 3000
4 u = 2120
1 u = 2120 ÷ 4 = 530
(a)
Lee's salary
= 3 u
= 3 x 530
= $1590
(b)
Ivan's salary
= 4 u
= 4 x 530
= $2120
Answer(s): (a) $1590; (b) $2120
