PSLE
Fred and Perry were paid a total of $2280 for a job they did. Perry was paid $1570 less than Fred.

1. How much was Perry paid for the job?
2. Fred and Perry were paid based on the number of days they worked. Fred worked 5 times as many days as Perry. Fred was paid $15 more than Perry per day. How many days did Fred work? 

(a)
Amount that Perry was paid = 1 u
Amount that Fred was paid = 1 u + 1570

Total amount paid
= 1 u + 1 u + 1570
= 2 u + 1570

2 u + 1570 = 2280
2 u = 2280 - 1570
2 u = 710

1 u = 710 ÷ 2 = 355

Amount that Perry was paid
= 1 u
= $355

(b)
Amount that Fred was paid
= 1 u + 1570
= 355 + 1570
= $1925

Fred worked 5 times as many days as Perry.

5 sets of Fred's salary = $1925

1 set of Fred's salary
= 1925 ÷ 5
= $385

1 set of Perry's salary = $355

Difference between each set of Fred's and Perry's salaries
= 385 - 355
= $30

Number of days in 1 set
= 30 ÷ 15
= 2

Number of days that Fred worked
= 5 x 2
= 10

Answer(s): (a) $355; (b) 10