Eric's salary to Perry's salary is 4 : 5. The former saves $930 while the latter saves $990. If Perry's spending to Eric's spending is in the ratio of 7 : 5, what are Eric's and Perry's salaries respectively?
- Eric
- Perry
| Eric's salary |
Perry's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $930 |
5 p |
$990 |
7 p |
930 + 5 p = 4 u --- (1)
990 + 7 p = 5 u --- (2)
Make p the same.
(1)
x 76510 +
35 p = 28 u
35 p = 28 u - 6510 --- (3)
(2)
x 54950 +
35 p = 25 u
35 p = 25 u - 4950 --- (4)
(3) = (4)
28 u - 6510 = 25 u - 4950
28 u - 25 u = 6510 - 4950
3 u = 1560
1 u = 1560 ÷ 3 = 520
(a)
Eric's salary
= 4 u
= 4 x 520
= $2080
(b)
Perry's salary
= 5 u
= 5 x 520
= $2600
Answer(s): (a) $2080; (b) $2600
