Fred's salary to Pierre's salary is 5 : 6. The former saves $2350 while the latter saves $2690. If Pierre's spending to Fred's spending is in the ratio of 7 : 5, what are Fred's and Pierre's salaries respectively?
- Fred
- Pierre
| Fred's salary |
Pierre's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2350 |
5 p |
$2690 |
7 p |
2350 + 5 p = 5 u --- (1)
2690 + 7 p = 6 u --- (2)
Make p the same.
(1)
x 716450 +
35 p = 35 u
35 p = 35 u - 16450 --- (3)
(2)
x 513450 +
35 p = 30 u
35 p = 30 u - 13450 --- (4)
(3) = (4)
35 u - 16450 = 30 u - 13450
35 u - 30 u = 16450 - 13450
5 u = 3000
1 u = 3000 ÷ 5 = 600
(a)
Fred's salary
= 5 u
= 5 x 600
= $3000
(b)
Pierre's salary
= 6 u
= 6 x 600
= $3600
Answer(s): (a) $3000; (b) $3600
