Vincent's salary to Reggie's salary is 5 : 6. The former saves $1960 while the latter saves $2240. If Reggie's spending to Vincent's spending is in the ratio of 4 : 3, what are Vincent's and Reggie's salaries respectively?
- Vincent
- Reggie
| Vincent's salary |
Reggie's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1960 |
3 p |
$2240 |
4 p |
1960 + 3 p = 5 u --- (1)
2240 + 4 p = 6 u --- (2)
Make p the same.
(1)
x 47840 +
12 p = 20 u
12 p = 20 u - 7840 --- (3)
(2)
x 36720 +
12 p = 18 u
12 p = 18 u - 6720 --- (4)
(3) = (4)
20 u - 7840 = 18 u - 6720
20 u - 18 u = 7840 - 6720
2 u = 1120
1 u = 1120 ÷ 2 = 560
(a)
Vincent's salary
= 5 u
= 5 x 560
= $2800
(b)
Reggie's salary
= 6 u
= 6 x 560
= $3360
Answer(s): (a) $2800; (b) $3360
