PSLE
Elijah and Mark were paid a total of $2440 for a job they did. Elijah was paid $1730 more than Mark.

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

(a)
Amount that Mark was paid = 1 u
Amount that Elijah was paid = 1 u + 1730

Total amount paid
= 1 u + 1 u + 1730
= 2 u + 1730

2 u + 1730 = 2440
2 u = 2440 - 1730
2 u = 710

1 u = 710 ÷ 2 = 355

Amount that Mark was paid
= 1 u
= $355

(b)
Amount that Elijah was paid
= 1 u + 1730
= 355 + 1730
= $2085

Elijah worked 3 times as many days as Mark.

3 sets of Elijah's salary = $2085

1 set of Elijah's salary
= 2085 ÷ 3
= $695

1 set of Mark's salary = $355

Difference between each set of Elijah's and Mark's salaries
= 695 - 355
= $340

Number of days in 1 set
= 340 ÷ 20
= 17

Number of days that Elijah worked
= 3 x 17
= 51

Answer(s): (a) $355; (b) 51