PSLE
Elijah and Bryan were paid a total of $2770 for a job they did. Bryan was paid $1030 less than Elijah.

1. How much was Bryan paid for the job?
2. Elijah and Bryan were paid based on the number of days they worked. Elijah worked 2 times as many days as Bryan. Elijah was paid $4 more than Bryan per day. How many days did Elijah work? 

(a)
Amount that Bryan was paid = 1 u
Amount that Elijah was paid = 1 u + 1030

Total amount paid
= 1 u + 1 u + 1030
= 2 u + 1030

2 u + 1030 = 2770
2 u = 2770 - 1030
2 u = 1740

1 u = 1740 ÷ 2 = 870

Amount that Bryan was paid
= 1 u
= $870

(b)
Amount that Elijah was paid
= 1 u + 1030
= 870 + 1030
= $1900

Elijah worked 2 times as many days as Bryan.

2 sets of Elijah's salary = $1900

1 set of Elijah's salary
= 1900 ÷ 2
= $950

1 set of Bryan's salary = $870

Difference between each set of Elijah's and Bryan's salaries
= 950 - 870
= $80

Number of days in 1 set
= 80 ÷ 4
= 20

Number of days that Elijah worked
= 2 x 20
= 40

Answer(s): (a) $870; (b) 40