Vincent's salary to Lee's salary is 4 : 5. The former saves $1500 while the latter saves $1820. If Lee's spending to Vincent's spending is in the ratio of 3 : 2, what are Vincent's and Lee's salaries respectively?
- Vincent
- Lee
| Vincent's salary |
Lee's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1500 |
2 p |
$1820 |
3 p |
1500 + 2 p = 4 u --- (1)
1820 + 3 p = 5 u --- (2)
Make p the same.
(1)
x 34500 +
6 p = 12 u
6 p = 12 u - 4500 --- (3)
(2)
x 23640 +
6 p = 10 u
6 p = 10 u - 3640 --- (4)
(3) = (4)
12 u - 4500 = 10 u - 3640
12 u - 10 u = 4500 - 3640
2 u = 860
1 u = 860 ÷ 2 = 430
(a)
Vincent's salary
= 4 u
= 4 x 430
= $1720
(b)
Lee's salary
= 5 u
= 5 x 430
= $2150
Answer(s): (a) $1720; (b) $2150
