PSLE Ben and Simon were paid a total of $1970 for a job they did. Simon was paid $1090 less than Ben.
- How much was Simon paid for the job?
- Ben and Simon were paid based on the number of days they worked. Ben worked 2 times as many days as Simon. Ben was paid $25 more than Simon per day. How many days did Ben work?
(a)
Amount that Simon was paid = 1 u
Amount that Ben was paid = 1 u + 1090
Total amount paid
= 1 u + 1 u + 1090
= 2 u + 1090
2 u + 1090 = 1970
2 u = 1970 - 1090
2 u = 880
1 u = 880 ÷ 2 = 440
Amount that Simon was paid
= 1 u
= $440
(b)
Amount that Ben was paid
= 1 u + 1090
= 440 + 1090
= $1530
Ben worked 2 times as many days as Simon.
2 sets of Ben's salary = $1530
1 set of Ben's salary
= 1530 ÷ 2
= $765
1 set of Simon's salary = $440
Difference between each set of Ben's and Simon's salaries
= 765 - 440
= $325
Number of days in 1 set
= 325 ÷ 25
= 13
Number of days that Ben worked
= 2 x 13
= 26
Answer(s): (a) $440; (b) 26