PSLE
Ian and Luke were paid a total of $2940 for a job they did. Luke was paid $1120 less than Ian.

1. How much was Luke paid for the job?
2. Ian and Luke were paid based on the number of days they worked. Ian worked 2 times as many days as Luke. Ian was paid $15 more than Luke per day. How many days did Ian work? 

(a)
Amount that Luke was paid = 1 u
Amount that Ian was paid = 1 u + 1120

Total amount paid
= 1 u + 1 u + 1120
= 2 u + 1120

2 u + 1120 = 2940
2 u = 2940 - 1120
2 u = 1820

1 u = 1820 ÷ 2 = 910

Amount that Luke was paid
= 1 u
= $910

(b)
Amount that Ian was paid
= 1 u + 1120
= 910 + 1120
= $2030

Ian worked 2 times as many days as Luke.

2 sets of Ian's salary = $2030

1 set of Ian's salary
= 2030 ÷ 2
= $1015

1 set of Luke's salary = $910

Difference between each set of Ian's and Luke's salaries
= 1015 - 910
= $105

Number of days in 1 set
= 105 ÷ 15
= 7

Number of days that Ian worked
= 2 x 7
= 14

Answer(s): (a) $910; (b) 14