PSLE
Rael and Mark were paid a total of $2600 for a job they did. Mark was paid $1900 less than Rael.

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

(a)
Amount that Mark was paid = 1 u
Amount that Rael was paid = 1 u + 1900

Total amount paid
= 1 u + 1 u + 1900
= 2 u + 1900

2 u + 1900 = 2600
2 u = 2600 - 1900
2 u = 700

1 u = 700 ÷ 2 = 350

Amount that Mark was paid
= 1 u
= $350

(b)
Amount that Rael was paid
= 1 u + 1900
= 350 + 1900
= $2250

Rael worked 3 times as many days as Mark.

3 sets of Rael's salary = $2250

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

1 set of Mark's salary = $350

Difference between each set of Rael's and Mark's salaries
= 750 - 350
= $400

Number of days in 1 set
= 400 ÷ 20
= 20

Number of days that Rael worked
= 3 x 20
= 60

Answer(s): (a) $350; (b) 60