PSLE
Elijah and Xavier were paid a total of $2080 for a job they did. Xavier was paid $1360 less than Elijah.

1. How much was Xavier paid for the job?
2. Elijah and Xavier were paid based on the number of days they worked. Elijah worked 4 times as many days as Xavier. Elijah was paid $5 more than Xavier per day. How many days did Elijah work? 

(a)
Amount that Xavier was paid = 1 u
Amount that Elijah was paid = 1 u + 1360

Total amount paid
= 1 u + 1 u + 1360
= 2 u + 1360

2 u + 1360 = 2080
2 u = 2080 - 1360
2 u = 720

1 u = 720 ÷ 2 = 360

Amount that Xavier was paid
= 1 u
= $360

(b)
Amount that Elijah was paid
= 1 u + 1360
= 360 + 1360
= $1720

Elijah worked 4 times as many days as Xavier.

4 sets of Elijah's salary = $1720

1 set of Elijah's salary
= 1720 ÷ 4
= $430

1 set of Xavier's salary = $360

Difference between each set of Elijah's and Xavier's salaries
= 430 - 360
= $70

Number of days in 1 set
= 70 ÷ 5
= 14

Number of days that Elijah worked
= 4 x 14
= 56

Answer(s): (a) $360; (b) 56