Pierre's salary to Luke's salary is 5 : 6. The former saves $2260 while the latter saves $2390. If Luke's spending to Pierre's spending is in the ratio of 5 : 3, what are Pierre's and Luke's salaries respectively?
- Pierre
- Luke
| Pierre's salary |
Luke's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2260 |
3 p |
$2390 |
5 p |
2260 + 3 p = 5 u --- (1)
2390 + 5 p = 6 u --- (2)
Make p the same.
(1)
x 511300 +
15 p = 25 u
15 p = 25 u - 11300 --- (3)
(2)
x 37170 +
15 p = 18 u
15 p = 18 u - 7170 --- (4)
(3) = (4)
25 u - 11300 = 18 u - 7170
25 u - 18 u = 11300 - 7170
7 u = 4130
1 u = 4130 ÷ 7 = 590
(a)
Pierre's salary
= 5 u
= 5 x 590
= $2950
(b)
Luke's salary
= 6 u
= 6 x 590
= $3540
Answer(s): (a) $2950; (b) $3540
