PSLE
Jack and Valen were paid a total of $2040 for a job they did. Valen was paid $1170 less than Jack.

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

(a)
Amount that Valen was paid = 1 u
Amount that Jack was paid = 1 u + 1170

Total amount paid
= 1 u + 1 u + 1170
= 2 u + 1170

2 u + 1170 = 2040
2 u = 2040 - 1170
2 u = 870

1 u = 870 ÷ 2 = 435

Amount that Valen was paid
= 1 u
= $435

(b)
Amount that Jack was paid
= 1 u + 1170
= 435 + 1170
= $1605

Jack worked 3 times as many days as Valen.

3 sets of Jack's salary = $1605

1 set of Jack's salary
= 1605 ÷ 3
= $535

1 set of Valen's salary = $435

Difference between each set of Jack's and Valen's salaries
= 535 - 435
= $100

Number of days in 1 set
= 100 ÷ 20
= 5

Number of days that Jack worked
= 3 x 5
= 15

Answer(s): (a) $435; (b) 15