PSLE
Fred and Ivan were paid a total of $2160 for a job they did. Fred was paid $1740 more than Ivan.

1. How much was Ivan paid for the job?
2. Fred and Ivan were paid based on the number of days they worked. Fred worked 5 times as many days as Ivan. Ivan was paid $10 less than Fred per day. How many days did Fred work? 

(a)
Amount that Ivan was paid = 1 u
Amount that Fred was paid = 1 u + 1740

Total amount paid
= 1 u + 1 u + 1740
= 2 u + 1740

2 u + 1740 = 2160
2 u = 2160 - 1740
2 u = 420

1 u = 420 ÷ 2 = 210

Amount that Ivan was paid
= 1 u
= $210

(b)
Amount that Fred was paid
= 1 u + 1740
= 210 + 1740
= $1950

Fred worked 5 times as many days as Ivan.

5 sets of Fred's salary = $1950

1 set of Fred's salary
= 1950 ÷ 5
= $390

1 set of Ivan's salary = $210

Difference between each set of Fred's and Ivan's salaries
= 390 - 210
= $180

Number of days in 1 set
= 180 ÷ 10
= 18

Number of days that Fred worked
= 5 x 18
= 90

Answer(s): (a) $210; (b) 90