Ian's salary to Oscar's salary is 4 : 5. The former saves $1120 while the latter saves $1250. If Oscar's spending to Ian's spending is in the ratio of 3 : 2, what are Ian's and Oscar's salaries respectively?
- Ian
- Oscar
| Ian's salary |
Oscar's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1120 |
2 p |
$1250 |
3 p |
1120 + 2 p = 4 u --- (1)
1250 + 3 p = 5 u --- (2)
Make p the same.
(1)
x 33360 +
6 p = 12 u
6 p = 12 u - 3360 --- (3)
(2)
x 22500 +
6 p = 10 u
6 p = 10 u - 2500 --- (4)
(3) = (4)
12 u - 3360 = 10 u - 2500
12 u - 10 u = 3360 - 2500
2 u = 860
1 u = 860 ÷ 2 = 430
(a)
Ian's salary
= 4 u
= 4 x 430
= $1720
(b)
Oscar's salary
= 5 u
= 5 x 430
= $2150
Answer(s): (a) $1720; (b) $2150
