PSLE Justin and Ian were paid a total of $3960 for a job they did. Ian was paid $1720 less than Justin.
- How much was Ian paid for the job?
- Justin and Ian were paid based on the number of days they worked. Justin worked 2 times as many days as Ian. Justin was paid $25 more than Ian per day. How many days did Justin work?
(a)
Amount that Ian was paid = 1 u
Amount that Justin was paid = 1 u + 1720
Total amount paid
= 1 u + 1 u + 1720
= 2 u + 1720
2 u + 1720 = 3960
2 u = 3960 - 1720
2 u = 2240
1 u = 2240 ÷ 2 = 1120
Amount that Ian was paid
= 1 u
= $1120
(b)
Amount that Justin was paid
= 1 u + 1720
= 1120 + 1720
= $2840
Justin worked 2 times as many days as Ian.
2 sets of Justin's salary = $2840
1 set of Justin's salary
= 2840 ÷ 2
= $1420
1 set of Ian's salary = $1120
Difference between each set of Justin's and Ian's salaries
= 1420 - 1120
= $300
Number of days in 1 set
= 300 ÷ 25
= 12
Number of days that Justin worked
= 2 x 12
= 24
Answer(s): (a) $1120; (b) 24