Luis's salary to Flynn's salary is 5 : 6. The former saves $1100 while the latter saves $860. If Flynn's spending to Luis's spending is in the ratio of 8 : 5, what are Luis's and Flynn's salaries respectively?
- Luis
- Flynn
| Luis's salary |
Flynn's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1100 |
5 p |
$860 |
8 p |
1100 + 5 p = 5 u --- (1)
860 + 8 p = 6 u --- (2)
Make p the same.
(1)
x 88800 +
40 p = 40 u
40 p = 40 u - 8800 --- (3)
(2)
x 54300 +
40 p = 30 u
40 p = 30 u - 4300 --- (4)
(3) = (4)
40 u - 8800 = 30 u - 4300
40 u - 30 u = 8800 - 4300
10 u = 4500
1 u = 4500 ÷ 10 = 450
(a)
Luis's salary
= 5 u
= 5 x 450
= $2250
(b)
Flynn's salary
= 6 u
= 6 x 450
= $2700
Answer(s): (a) $2250; (b) $2700
