PSLE Owen and Cody were paid a total of $2140 for a job they did. Cody was paid $1640 less than Owen.
- How much was Cody paid for the job?
- Owen and Cody were paid based on the number of days they worked. Owen worked 5 times as many days as Cody. Owen was paid $8 more than Cody per day. How many days did Owen work?
(a)
Amount that Cody was paid = 1 u
Amount that Owen was paid = 1 u + 1640
Total amount paid
= 1 u + 1 u + 1640
= 2 u + 1640
2 u + 1640 = 2140
2 u = 2140 - 1640
2 u = 500
1 u = 500 ÷ 2 = 250
Amount that Cody was paid
= 1 u
= $250
(b)
Amount that Owen was paid
= 1 u + 1640
= 250 + 1640
= $1890
Owen worked 5 times as many days as Cody.
5 sets of Owen's salary = $1890
1 set of Owen's salary
= 1890 ÷ 5
= $378
1 set of Cody's salary = $250
Difference between each set of Owen's and Cody's salaries
= 378 - 250
= $128
Number of days in 1 set
= 128 ÷ 8
= 16
Number of days that Owen worked
= 5 x 16
= 80
Answer(s): (a) $250; (b) 80