Ian's salary to Paul's salary is 4 : 5. The former saves $1690 while the latter saves $1850. If Paul's spending to Ian's spending is in the ratio of 5 : 3, what are Ian's and Paul's salaries respectively?
- Ian
- Paul
| Ian's salary |
Paul's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1690 |
3 p |
$1850 |
5 p |
1690 + 3 p = 4 u --- (1)
1850 + 5 p = 5 u --- (2)
Make p the same.
(1)
x 58450 +
15 p = 20 u
15 p = 20 u - 8450 --- (3)
(2)
x 35550 +
15 p = 15 u
15 p = 15 u - 5550 --- (4)
(3) = (4)
20 u - 8450 = 15 u - 5550
20 u - 15 u = 8450 - 5550
5 u = 2900
1 u = 2900 ÷ 5 = 580
(a)
Ian's salary
= 4 u
= 4 x 580
= $2320
(b)
Paul's salary
= 5 u
= 5 x 580
= $2900
Answer(s): (a) $2320; (b) $2900
