Oscar's salary to Luis's salary is 4 : 5. The former saves $590 while the latter saves $370. If Luis's spending to Oscar's spending is in the ratio of 8 : 5, what are Oscar's and Luis's salaries respectively?
- Oscar
- Luis
| Oscar's salary |
Luis's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $590 |
5 p |
$370 |
8 p |
590 + 5 p = 4 u --- (1)
370 + 8 p = 5 u --- (2)
Make p the same.
(1)
x 84720 +
40 p = 32 u
40 p = 32 u - 4720 --- (3)
(2)
x 51850 +
40 p = 25 u
40 p = 25 u - 1850 --- (4)
(3) = (4)
32 u - 4720 = 25 u - 1850
32 u - 25 u = 4720 - 1850
7 u = 2870
1 u = 2870 ÷ 7 = 410
(a)
Oscar's salary
= 4 u
= 4 x 410
= $1640
(b)
Luis's salary
= 5 u
= 5 x 410
= $2050
Answer(s): (a) $1640; (b) $2050
