PSLE
Sean and Julian were paid a total of $4010 for a job they did. Sean was paid $1550 more than Julian.

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

(a)
Amount that Julian was paid = 1 u
Amount that Sean was paid = 1 u + 1550

Total amount paid
= 1 u + 1 u + 1550
= 2 u + 1550

2 u + 1550 = 4010
2 u = 4010 - 1550
2 u = 2460

1 u = 2460 ÷ 2 = 1230

Amount that Julian was paid
= 1 u
= $1230

(b)
Amount that Sean was paid
= 1 u + 1550
= 1230 + 1550
= $2780

Sean worked 2 times as many days as Julian.

2 sets of Sean's salary = $2780

1 set of Sean's salary
= 2780 ÷ 2
= $1390

1 set of Julian's salary = $1230

Difference between each set of Sean's and Julian's salaries
= 1390 - 1230
= $160

Number of days in 1 set
= 160 ÷ 20
= 8

Number of days that Sean worked
= 2 x 8
= 16

Answer(s): (a) $1230; (b) 16