PSLE Fred and Cole were paid a total of $1700 for a job they did. Fred was paid $1140 more than Cole.
- How much was Cole paid for the job?
- Fred and Cole were paid based on the number of days they worked. Fred worked 4 times as many days as Cole. Cole was paid $5 less than Fred per day. How many days did Fred work?
(a)
Amount that Cole was paid = 1 u
Amount that Fred was paid = 1 u + 1140
Total amount paid
= 1 u + 1 u + 1140
= 2 u + 1140
2 u + 1140 = 1700
2 u = 1700 - 1140
2 u = 560
1 u = 560 ÷ 2 = 280
Amount that Cole was paid
= 1 u
= $280
(b)
Amount that Fred was paid
= 1 u + 1140
= 280 + 1140
= $1420
Fred worked 4 times as many days as Cole.
4 sets of Fred's salary = $1420
1 set of Fred's salary
= 1420 ÷ 4
= $355
1 set of Cole's salary = $280
Difference between each set of Fred's and Cole's salaries
= 355 - 280
= $75
Number of days in 1 set
= 75 ÷ 5
= 15
Number of days that Fred worked
= 4 x 15
= 60
Answer(s): (a) $280; (b) 60