PSLE Caden and Jenson were paid a total of $1960 for a job they did. Caden was paid $1340 more than Jenson.
- How much was Jenson paid for the job?
- Caden and Jenson were paid based on the number of days they worked. Caden worked 5 times as many days as Jenson. Jenson was paid $20 less than Caden per day. How many days did Caden work?
(a)
Amount that Jenson was paid = 1 u
Amount that Caden was paid = 1 u + 1340
Total amount paid
= 1 u + 1 u + 1340
= 2 u + 1340
2 u + 1340 = 1960
2 u = 1960 - 1340
2 u = 620
1 u = 620 ÷ 2 = 310
Amount that Jenson was paid
= 1 u
= $310
(b)
Amount that Caden was paid
= 1 u + 1340
= 310 + 1340
= $1650
Caden worked 5 times as many days as Jenson.
5 sets of Caden's salary = $1650
1 set of Caden's salary
= 1650 ÷ 5
= $330
1 set of Jenson's salary = $310
Difference between each set of Caden's and Jenson's salaries
= 330 - 310
= $20
Number of days in 1 set
= 20 ÷ 20
= 1
Number of days that Caden worked
= 5 x 1
= 5
Answer(s): (a) $310; (b) 5