PSLE Cole and Caden were paid a total of $3320 for a job they did. Caden was paid $1840 less than Cole.
- How much was Caden paid for the job?
- Cole and Caden were paid based on the number of days they worked. Cole worked 3 times as many days as Caden. Cole was paid $12 more than Caden per day. How many days did Cole work?
(a)
Amount that Caden was paid = 1 u
Amount that Cole was paid = 1 u + 1840
Total amount paid
= 1 u + 1 u + 1840
= 2 u + 1840
2 u + 1840 = 3320
2 u = 3320 - 1840
2 u = 1480
1 u = 1480 ÷ 2 = 740
Amount that Caden was paid
= 1 u
= $740
(b)
Amount that Cole was paid
= 1 u + 1840
= 740 + 1840
= $2580
Cole worked 3 times as many days as Caden.
3 sets of Cole's salary = $2580
1 set of Cole's salary
= 2580 ÷ 3
= $860
1 set of Caden's salary = $740
Difference between each set of Cole's and Caden's salaries
= 860 - 740
= $120
Number of days in 1 set
= 120 ÷ 12
= 10
Number of days that Cole worked
= 3 x 10
= 30
Answer(s): (a) $740; (b) 30