Nick's salary to Owen's salary is 3 : 4. The former saves $840 while the latter saves $1000. If Owen's spending to Nick's spending is in the ratio of 5 : 3, what are Nick's and Owen's salaries respectively?
- Nick
- Owen
| Nick's salary |
Owen's salary |
| 3 u |
4 u |
| Savings |
Spending |
Savings |
Spending |
| $840 |
3 p |
$1000 |
5 p |
840 + 3 p = 3 u --- (1)
1000 + 5 p = 4 u --- (2)
Make p the same.
(1)
x 54200 +
15 p = 15 u
15 p = 15 u - 4200 --- (3)
(2)
x 33000 +
15 p = 12 u
15 p = 12 u - 3000 --- (4)
(3) = (4)
15 u - 4200 = 12 u - 3000
15 u - 12 u = 4200 - 3000
3 u = 1200
1 u = 1200 ÷ 3 = 400
(a)
Nick's salary
= 3 u
= 3 x 400
= $1200
(b)
Owen's salary
= 4 u
= 4 x 400
= $1600
Answer(s): (a) $1200; (b) $1600
