PSLE Caden and Charlie were paid a total of $2560 for a job they did. Charlie was paid $1120 less than Caden.
- How much was Charlie paid for the job?
- Caden and Charlie were paid based on the number of days they worked. Caden worked 2 times as many days as Charlie. Caden was paid $20 more than Charlie per day. How many days did Caden work?
(a)
Amount that Charlie was paid = 1 u
Amount that Caden was paid = 1 u + 1120
Total amount paid
= 1 u + 1 u + 1120
= 2 u + 1120
2 u + 1120 = 2560
2 u = 2560 - 1120
2 u = 1440
1 u = 1440 ÷ 2 = 720
Amount that Charlie was paid
= 1 u
= $720
(b)
Amount that Caden was paid
= 1 u + 1120
= 720 + 1120
= $1840
Caden worked 2 times as many days as Charlie.
2 sets of Caden's salary = $1840
1 set of Caden's salary
= 1840 ÷ 2
= $920
1 set of Charlie's salary = $720
Difference between each set of Caden's and Charlie's salaries
= 920 - 720
= $200
Number of days in 1 set
= 200 ÷ 20
= 10
Number of days that Caden worked
= 2 x 10
= 20
Answer(s): (a) $720; (b) 20