PSLE
Peter and Jeremy were paid a total of $2430 for a job they did. Jeremy was paid $1700 less than Peter.

1. How much was Jeremy paid for the job?
2. Peter and Jeremy were paid based on the number of days they worked. Peter worked 5 times as many days as Jeremy. Peter was paid $8 more than Jeremy per day. How many days did Peter work? 

(a)
Amount that Jeremy was paid = 1 u
Amount that Peter was paid = 1 u + 1700

Total amount paid
= 1 u + 1 u + 1700
= 2 u + 1700

2 u + 1700 = 2430
2 u = 2430 - 1700
2 u = 730

1 u = 730 ÷ 2 = 365

Amount that Jeremy was paid
= 1 u
= $365

(b)
Amount that Peter was paid
= 1 u + 1700
= 365 + 1700
= $2065

Peter worked 5 times as many days as Jeremy.

5 sets of Peter's salary = $2065

1 set of Peter's salary
= 2065 ÷ 5
= $413

1 set of Jeremy's salary = $365

Difference between each set of Peter's and Jeremy's salaries
= 413 - 365
= $48

Number of days in 1 set
= 48 ÷ 8
= 6

Number of days that Peter worked
= 5 x 6
= 30

Answer(s): (a) $365; (b) 30