PSLE Owen and Ben were paid a total of $2720 for a job they did. Owen was paid $1840 more than Ben.
- How much was Ben paid for the job?
- Owen and Ben were paid based on the number of days they worked. Owen worked 3 times as many days as Ben. Ben was paid $20 less than Owen per day. How many days did Owen work?
(a)
Amount that Ben was paid = 1 u
Amount that Owen was paid = 1 u + 1840
Total amount paid
= 1 u + 1 u + 1840
= 2 u + 1840
2 u + 1840 = 2720
2 u = 2720 - 1840
2 u = 880
1 u = 880 ÷ 2 = 440
Amount that Ben was paid
= 1 u
= $440
(b)
Amount that Owen was paid
= 1 u + 1840
= 440 + 1840
= $2280
Owen worked 3 times as many days as Ben.
3 sets of Owen's salary = $2280
1 set of Owen's salary
= 2280 ÷ 3
= $760
1 set of Ben's salary = $440
Difference between each set of Owen's and Ben's salaries
= 760 - 440
= $320
Number of days in 1 set
= 320 ÷ 20
= 16
Number of days that Owen worked
= 3 x 16
= 48
Answer(s): (a) $440; (b) 48