Eric's salary to Ethan's salary is 4 : 5. The former saves $1210 while the latter saves $1320. If Ethan's spending to Eric's spending is in the ratio of 8 : 5, what are Eric's and Ethan's salaries respectively?
- Eric
- Ethan
| Eric's salary |
Ethan's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1210 |
5 p |
$1320 |
8 p |
1210 + 5 p = 4 u --- (1)
1320 + 8 p = 5 u --- (2)
Make p the same.
(1)
x 89680 +
40 p = 32 u
40 p = 32 u - 9680 --- (3)
(2)
x 56600 +
40 p = 25 u
40 p = 25 u - 6600 --- (4)
(3) = (4)
32 u - 9680 = 25 u - 6600
32 u - 25 u = 9680 - 6600
7 u = 3080
1 u = 3080 ÷ 7 = 440
(a)
Eric's salary
= 4 u
= 4 x 440
= $1760
(b)
Ethan's salary
= 5 u
= 5 x 440
= $2200
Answer(s): (a) $1760; (b) $2200
