Oscar's salary to Rael's salary is 4 : 5. The former saves $1820 while the latter saves $2050. If Rael's spending to Oscar's spending is in the ratio of 5 : 3, what are Oscar's and Rael's salaries respectively?
- Oscar
- Rael
| Oscar's salary |
Rael's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1820 |
3 p |
$2050 |
5 p |
1820 + 3 p = 4 u --- (1)
2050 + 5 p = 5 u --- (2)
Make p the same.
(1)
x 59100 +
15 p = 20 u
15 p = 20 u - 9100 --- (3)
(2)
x 36150 +
15 p = 15 u
15 p = 15 u - 6150 --- (4)
(3) = (4)
20 u - 9100 = 15 u - 6150
20 u - 15 u = 9100 - 6150
5 u = 2950
1 u = 2950 ÷ 5 = 590
(a)
Oscar's salary
= 4 u
= 4 x 590
= $2360
(b)
Rael's salary
= 5 u
= 5 x 590
= $2950
Answer(s): (a) $2360; (b) $2950
