Eric's salary to Warren's salary is 3 : 4. The former saves $70 while the latter saves $-240. If Warren's spending to Eric's spending is in the ratio of 8 : 5, what are Eric's and Warren's salaries respectively?
- Eric
- Warren
| Eric's salary |
Warren's salary |
| 3 u |
4 u |
| Savings |
Spending |
Savings |
Spending |
| $70 |
5 p |
$-240 |
8 p |
70 + 5 p = 3 u --- (1)
-240 + 8 p = 4 u --- (2)
Make p the same.
(1)
x 8560 +
40 p = 24 u
40 p = 24 u - 560 --- (3)
(2)
x 5-1200 +
40 p = 20 u
40 p = 20 u - -1200 --- (4)
(3) = (4)
24 u - 560 = 20 u - -1200
24 u - 20 u = 560 - -1200
4 u = 1760
1 u = 1760 ÷ 4 = 440
(a)
Eric's salary
= 3 u
= 3 x 440
= $1320
(b)
Warren's salary
= 4 u
= 4 x 440
= $1760
Answer(s): (a) $1320; (b) $1760
