PSLE Justin and Howard were paid a total of $3060 for a job they did. Justin was paid $1340 more than Howard.
- How much was Howard paid for the job?
- Justin and Howard were paid based on the number of days they worked. Justin worked 2 times as many days as Howard. Howard was paid $20 less than Justin per day. How many days did Justin work?
(a)
Amount that Howard was paid = 1 u
Amount that Justin was paid = 1 u + 1340
Total amount paid
= 1 u + 1 u + 1340
= 2 u + 1340
2 u + 1340 = 3060
2 u = 3060 - 1340
2 u = 1720
1 u = 1720 ÷ 2 = 860
Amount that Howard was paid
= 1 u
= $860
(b)
Amount that Justin was paid
= 1 u + 1340
= 860 + 1340
= $2200
Justin worked 2 times as many days as Howard.
2 sets of Justin's salary = $2200
1 set of Justin's salary
= 2200 ÷ 2
= $1100
1 set of Howard's salary = $860
Difference between each set of Justin's and Howard's salaries
= 1100 - 860
= $240
Number of days in 1 set
= 240 ÷ 20
= 12
Number of days that Justin worked
= 2 x 12
= 24
Answer(s): (a) $860; (b) 24