PSLE John and Caden were paid a total of $3300 for a job they did. Caden was paid $1220 less than John.
- How much was Caden paid for the job?
- John and Caden were paid based on the number of days they worked. John worked 2 times as many days as Caden. John was paid $10 more than Caden per day. How many days did John work?
(a)
Amount that Caden was paid = 1 u
Amount that John was paid = 1 u + 1220
Total amount paid
= 1 u + 1 u + 1220
= 2 u + 1220
2 u + 1220 = 3300
2 u = 3300 - 1220
2 u = 2080
1 u = 2080 ÷ 2 = 1040
Amount that Caden was paid
= 1 u
= $1040
(b)
Amount that John was paid
= 1 u + 1220
= 1040 + 1220
= $2260
John worked 2 times as many days as Caden.
2 sets of John's salary = $2260
1 set of John's salary
= 2260 ÷ 2
= $1130
1 set of Caden's salary = $1040
Difference between each set of John's and Caden's salaries
= 1130 - 1040
= $90
Number of days in 1 set
= 90 ÷ 10
= 9
Number of days that John worked
= 2 x 9
= 18
Answer(s): (a) $1040; (b) 18