PSLE
Bryan and Billy were paid a total of $1940 for a job they did. Billy was paid $1120 less than Bryan.

1. How much was Billy paid for the job?
2. Bryan and Billy were paid based on the number of days they worked. Bryan worked 3 times as many days as Billy. Bryan was paid $10 more than Billy per day. How many days did Bryan work? 

(a)
Amount that Billy was paid = 1 u
Amount that Bryan was paid = 1 u + 1120

Total amount paid
= 1 u + 1 u + 1120
= 2 u + 1120

2 u + 1120 = 1940
2 u = 1940 - 1120
2 u = 820

1 u = 820 ÷ 2 = 410

Amount that Billy was paid
= 1 u
= $410

(b)
Amount that Bryan was paid
= 1 u + 1120
= 410 + 1120
= $1530

Bryan worked 3 times as many days as Billy.

3 sets of Bryan's salary = $1530

1 set of Bryan's salary
= 1530 ÷ 3
= $510

1 set of Billy's salary = $410

Difference between each set of Bryan's and Billy's salaries
= 510 - 410
= $100

Number of days in 1 set
= 100 ÷ 10
= 10

Number of days that Bryan worked
= 3 x 10
= 30

Answer(s): (a) $410; (b) 30