PSLE
Xavier and Sam were paid a total of $3140 for a job they did. Sam was paid $1280 less than Xavier.

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

(a)
Amount that Sam was paid = 1 u
Amount that Xavier was paid = 1 u + 1280

Total amount paid
= 1 u + 1 u + 1280
= 2 u + 1280

2 u + 1280 = 3140
2 u = 3140 - 1280
2 u = 1860

1 u = 1860 ÷ 2 = 930

Amount that Sam was paid
= 1 u
= $930

(b)
Amount that Xavier was paid
= 1 u + 1280
= 930 + 1280
= $2210

Xavier worked 2 times as many days as Sam.

2 sets of Xavier's salary = $2210

1 set of Xavier's salary
= 2210 ÷ 2
= $1105

1 set of Sam's salary = $930

Difference between each set of Xavier's and Sam's salaries
= 1105 - 930
= $175

Number of days in 1 set
= 175 ÷ 25
= 7

Number of days that Xavier worked
= 2 x 7
= 14

Answer(s): (a) $930; (b) 14