Lee's salary to Sam's salary is 5 : 7. The former saves $1200 while the latter saves $1460. If Sam's spending to Lee's spending is in the ratio of 8 : 5, what are Lee's and Sam's salaries respectively?
- Lee
- Sam
| Lee's salary |
Sam's salary |
| 5 u |
7 u |
| Savings |
Spending |
Savings |
Spending |
| $1200 |
5 p |
$1460 |
8 p |
1200 + 5 p = 5 u --- (1)
1460 + 8 p = 7 u --- (2)
Make p the same.
(1)
x 89600 +
40 p = 40 u
40 p = 40 u - 9600 --- (3)
(2)
x 57300 +
40 p = 35 u
40 p = 35 u - 7300 --- (4)
(3) = (4)
40 u - 9600 = 35 u - 7300
40 u - 35 u = 9600 - 7300
5 u = 2300
1 u = 2300 ÷ 5 = 460
(a)
Lee's salary
= 5 u
= 5 x 460
= $2300
(b)
Sam's salary
= 7 u
= 7 x 460
= $3220
Answer(s): (a) $2300; (b) $3220
