PSLE
Ivan and Riordan were paid a total of $2740 for a job they did. Riordan was paid $1760 less than Ivan.

1. How much was Riordan paid for the job?
2. Ivan and Riordan were paid based on the number of days they worked. Ivan worked 3 times as many days as Riordan. Ivan was paid $20 more than Riordan per day. How many days did Ivan work? 

(a)
Amount that Riordan was paid = 1 u
Amount that Ivan was paid = 1 u + 1760

Total amount paid
= 1 u + 1 u + 1760
= 2 u + 1760

2 u + 1760 = 2740
2 u = 2740 - 1760
2 u = 980

1 u = 980 ÷ 2 = 490

Amount that Riordan was paid
= 1 u
= $490

(b)
Amount that Ivan was paid
= 1 u + 1760
= 490 + 1760
= $2250

Ivan worked 3 times as many days as Riordan.

3 sets of Ivan's salary = $2250

1 set of Ivan's salary
= 2250 ÷ 3
= $750

1 set of Riordan's salary = $490

Difference between each set of Ivan's and Riordan's salaries
= 750 - 490
= $260

Number of days in 1 set
= 260 ÷ 20
= 13

Number of days that Ivan worked
= 3 x 13
= 39

Answer(s): (a) $490; (b) 39