Jenson's salary to Elijah's salary is 3 : 4. The former saves $160 while the latter saves $-80. If Elijah's spending to Jenson's spending is in the ratio of 8 : 5, what are Jenson's and Elijah's salaries respectively?
- Jenson
- Elijah
| Jenson's salary |
Elijah's salary |
| 3 u |
4 u |
| Savings |
Spending |
Savings |
Spending |
| $160 |
5 p |
$-80 |
8 p |
160 + 5 p = 3 u --- (1)
-80 + 8 p = 4 u --- (2)
Make p the same.
(1)
x 81280 +
40 p = 24 u
40 p = 24 u - 1280 --- (3)
(2)
x 5-400 +
40 p = 20 u
40 p = 20 u - -400 --- (4)
(3) = (4)
24 u - 1280 = 20 u - -400
24 u - 20 u = 1280 - -400
4 u = 1680
1 u = 1680 ÷ 4 = 420
(a)
Jenson's salary
= 3 u
= 3 x 420
= $1260
(b)
Elijah's salary
= 4 u
= 4 x 420
= $1680
Answer(s): (a) $1260; (b) $1680
