PSLE
Peter and Sam were paid a total of $1920 for a job they did. Sam was paid $1050 less than Peter.

1. How much was Sam paid for the job?
2. Peter and Sam were paid based on the number of days they worked. Peter worked 3 times as many days as Sam. Peter was paid $4 more than Sam per day. How many days did Peter work? 

(a)
Amount that Sam was paid = 1 u
Amount that Peter was paid = 1 u + 1050

Total amount paid
= 1 u + 1 u + 1050
= 2 u + 1050

2 u + 1050 = 1920
2 u = 1920 - 1050
2 u = 870

1 u = 870 ÷ 2 = 435

Amount that Sam was paid
= 1 u
= $435

(b)
Amount that Peter was paid
= 1 u + 1050
= 435 + 1050
= $1485

Peter worked 3 times as many days as Sam.

3 sets of Peter's salary = $1485

1 set of Peter's salary
= 1485 ÷ 3
= $495

1 set of Sam's salary = $435

Difference between each set of Peter's and Sam's salaries
= 495 - 435
= $60

Number of days in 1 set
= 60 ÷ 4
= 15

Number of days that Peter worked
= 3 x 15
= 45

Answer(s): (a) $435; (b) 45