PSLE Cody and Vaidev were paid a total of $3020 for a job they did. Cody was paid $1870 more than Vaidev.
- How much was Vaidev paid for the job?
- Cody and Vaidev were paid based on the number of days they worked. Cody worked 3 times as many days as Vaidev. Vaidev was paid $12 less than Cody per day. How many days did Cody work?
(a)
Amount that Vaidev was paid = 1 u
Amount that Cody was paid = 1 u + 1870
Total amount paid
= 1 u + 1 u + 1870
= 2 u + 1870
2 u + 1870 = 3020
2 u = 3020 - 1870
2 u = 1150
1 u = 1150 ÷ 2 = 575
Amount that Vaidev was paid
= 1 u
= $575
(b)
Amount that Cody was paid
= 1 u + 1870
= 575 + 1870
= $2445
Cody worked 3 times as many days as Vaidev.
3 sets of Cody's salary = $2445
1 set of Cody's salary
= 2445 ÷ 3
= $815
1 set of Vaidev's salary = $575
Difference between each set of Cody's and Vaidev's salaries
= 815 - 575
= $240
Number of days in 1 set
= 240 ÷ 12
= 20
Number of days that Cody worked
= 3 x 20
= 60
Answer(s): (a) $575; (b) 60