Fabian's salary to Luis's salary is 5 : 6. The former saves $1450 while the latter saves $1450. If Luis's spending to Fabian's spending is in the ratio of 7 : 5, what are Fabian's and Luis's salaries respectively?
- Fabian
- Luis
| Fabian's salary |
Luis's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1450 |
5 p |
$1450 |
7 p |
1450 + 5 p = 5 u --- (1)
1450 + 7 p = 6 u --- (2)
Make p the same.
(1)
x 710150 +
35 p = 35 u
35 p = 35 u - 10150 --- (3)
(2)
x 57250 +
35 p = 30 u
35 p = 30 u - 7250 --- (4)
(3) = (4)
35 u - 10150 = 30 u - 7250
35 u - 30 u = 10150 - 7250
5 u = 2900
1 u = 2900 ÷ 5 = 580
(a)
Fabian's salary
= 5 u
= 5 x 580
= $2900
(b)
Luis's salary
= 6 u
= 6 x 580
= $3480
Answer(s): (a) $2900; (b) $3480
