Oliver's salary to Lee's salary is 4 : 5. The former saves $1100 while the latter saves $1250. If Lee's spending to Oliver's spending is in the ratio of 3 : 2, what are Oliver's and Lee's salaries respectively?
- Oliver
- Lee
| Oliver's salary |
Lee's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1100 |
2 p |
$1250 |
3 p |
1100 + 2 p = 4 u --- (1)
1250 + 3 p = 5 u --- (2)
Make p the same.
(1)
x 33300 +
6 p = 12 u
6 p = 12 u - 3300 --- (3)
(2)
x 22500 +
6 p = 10 u
6 p = 10 u - 2500 --- (4)
(3) = (4)
12 u - 3300 = 10 u - 2500
12 u - 10 u = 3300 - 2500
2 u = 800
1 u = 800 ÷ 2 = 400
(a)
Oliver's salary
= 4 u
= 4 x 400
= $1600
(b)
Lee's salary
= 5 u
= 5 x 400
= $2000
Answer(s): (a) $1600; (b) $2000
