PSLE
Sean and Gabriel were paid a total of $2590 for a job they did. Gabriel was paid $1820 less than Sean.

1. How much was Gabriel paid for the job?
2. Sean and Gabriel were paid based on the number of days they worked. Sean worked 3 times as many days as Gabriel. Sean was paid $25 more than Gabriel per day. How many days did Sean work? 

(a)
Amount that Gabriel was paid = 1 u
Amount that Sean was paid = 1 u + 1820

Total amount paid
= 1 u + 1 u + 1820
= 2 u + 1820

2 u + 1820 = 2590
2 u = 2590 - 1820
2 u = 770

1 u = 770 ÷ 2 = 385

Amount that Gabriel was paid
= 1 u
= $385

(b)
Amount that Sean was paid
= 1 u + 1820
= 385 + 1820
= $2205

Sean worked 3 times as many days as Gabriel.

3 sets of Sean's salary = $2205

1 set of Sean's salary
= 2205 ÷ 3
= $735

1 set of Gabriel's salary = $385

Difference between each set of Sean's and Gabriel's salaries
= 735 - 385
= $350

Number of days in 1 set
= 350 ÷ 25
= 14

Number of days that Sean worked
= 3 x 14
= 42

Answer(s): (a) $385; (b) 42