Oliver's salary to Justin's salary is 3 : 4. The former saves $660 while the latter saves $600. If Justin's spending to Oliver's spending is in the ratio of 5 : 3, what are Oliver's and Justin's salaries respectively?
- Oliver
- Justin
| Oliver's salary |
Justin's salary |
| 3 u |
4 u |
| Savings |
Spending |
Savings |
Spending |
| $660 |
3 p |
$600 |
5 p |
660 + 3 p = 3 u --- (1)
600 + 5 p = 4 u --- (2)
Make p the same.
(1)
x 53300 +
15 p = 15 u
15 p = 15 u - 3300 --- (3)
(2)
x 31800 +
15 p = 12 u
15 p = 12 u - 1800 --- (4)
(3) = (4)
15 u - 3300 = 12 u - 1800
15 u - 12 u = 3300 - 1800
3 u = 1500
1 u = 1500 ÷ 3 = 500
(a)
Oliver's salary
= 3 u
= 3 x 500
= $1500
(b)
Justin's salary
= 4 u
= 4 x 500
= $2000
Answer(s): (a) $1500; (b) $2000
