Vincent's salary to Fabian's salary is 5 : 6. The former saves $2520 while the latter saves $2960. If Fabian's spending to Vincent's spending is in the ratio of 4 : 3, what are Vincent's and Fabian's salaries respectively?
- Vincent
- Fabian
| Vincent's salary |
Fabian's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2520 |
3 p |
$2960 |
4 p |
2520 + 3 p = 5 u --- (1)
2960 + 4 p = 6 u --- (2)
Make p the same.
(1)
x 410080 +
12 p = 20 u
12 p = 20 u - 10080 --- (3)
(2)
x 38880 +
12 p = 18 u
12 p = 18 u - 8880 --- (4)
(3) = (4)
20 u - 10080 = 18 u - 8880
20 u - 18 u = 10080 - 8880
2 u = 1200
1 u = 1200 ÷ 2 = 600
(a)
Vincent's salary
= 5 u
= 5 x 600
= $3000
(b)
Fabian's salary
= 6 u
= 6 x 600
= $3600
Answer(s): (a) $3000; (b) $3600
