Ethan's salary to Jenson's salary is 4 : 5. The former saves $1340 while the latter saves $1530. If Jenson's spending to Ethan's spending is in the ratio of 3 : 2, what are Ethan's and Jenson's salaries respectively?
- Ethan
- Jenson
| Ethan's salary |
Jenson's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1340 |
2 p |
$1530 |
3 p |
1340 + 2 p = 4 u --- (1)
1530 + 3 p = 5 u --- (2)
Make p the same.
(1)
x 34020 +
6 p = 12 u
6 p = 12 u - 4020 --- (3)
(2)
x 23060 +
6 p = 10 u
6 p = 10 u - 3060 --- (4)
(3) = (4)
12 u - 4020 = 10 u - 3060
12 u - 10 u = 4020 - 3060
2 u = 960
1 u = 960 ÷ 2 = 480
(a)
Ethan's salary
= 4 u
= 4 x 480
= $1920
(b)
Jenson's salary
= 5 u
= 5 x 480
= $2400
Answer(s): (a) $1920; (b) $2400
