PSLE Simon and Cody were paid a total of $2930 for a job they did. Simon was paid $1600 more than Cody.
- How much was Cody paid for the job?
- Simon and Cody were paid based on the number of days they worked. Simon worked 3 times as many days as Cody. Cody was paid $15 less than Simon per day. How many days did Simon work?
(a)
Amount that Cody was paid = 1 u
Amount that Simon was paid = 1 u + 1600
Total amount paid
= 1 u + 1 u + 1600
= 2 u + 1600
2 u + 1600 = 2930
2 u = 2930 - 1600
2 u = 1330
1 u = 1330 ÷ 2 = 665
Amount that Cody was paid
= 1 u
= $665
(b)
Amount that Simon was paid
= 1 u + 1600
= 665 + 1600
= $2265
Simon worked 3 times as many days as Cody.
3 sets of Simon's salary = $2265
1 set of Simon's salary
= 2265 ÷ 3
= $755
1 set of Cody's salary = $665
Difference between each set of Simon's and Cody's salaries
= 755 - 665
= $90
Number of days in 1 set
= 90 ÷ 15
= 6
Number of days that Simon worked
= 3 x 6
= 18
Answer(s): (a) $665; (b) 18