PSLE
Tim and Jeremy were paid a total of $3330 for a job they did. Jeremy was paid $1150 less than Tim.

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

(a)
Amount that Jeremy was paid = 1 u
Amount that Tim was paid = 1 u + 1150

Total amount paid
= 1 u + 1 u + 1150
= 2 u + 1150

2 u + 1150 = 3330
2 u = 3330 - 1150
2 u = 2180

1 u = 2180 ÷ 2 = 1090

Amount that Jeremy was paid
= 1 u
= $1090

(b)
Amount that Tim was paid
= 1 u + 1150
= 1090 + 1150
= $2240

Tim worked 2 times as many days as Jeremy.

2 sets of Tim's salary = $2240

1 set of Tim's salary
= 2240 ÷ 2
= $1120

1 set of Jeremy's salary = $1090

Difference between each set of Tim's and Jeremy's salaries
= 1120 - 1090
= $30

Number of days in 1 set
= 30 ÷ 15
= 2

Number of days that Tim worked
= 2 x 2
= 4

Answer(s): (a) $1090; (b) 4