PSLE
Ben and Vaidev were paid a total of $2180 for a job they did. Ben was paid $1820 more than Vaidev.

1. How much was Vaidev paid for the job?
2. Ben and Vaidev were paid based on the number of days they worked. Ben worked 4 times as many days as Vaidev. Vaidev was paid $20 less than Ben per day. How many days did Ben work? 

(a)
Amount that Vaidev was paid = 1 u
Amount that Ben was paid = 1 u + 1820

Total amount paid
= 1 u + 1 u + 1820
= 2 u + 1820

2 u + 1820 = 2180
2 u = 2180 - 1820
2 u = 360

1 u = 360 ÷ 2 = 180

Amount that Vaidev was paid
= 1 u
= $180

(b)
Amount that Ben was paid
= 1 u + 1820
= 180 + 1820
= $2000

Ben worked 4 times as many days as Vaidev.

4 sets of Ben's salary = $2000

1 set of Ben's salary
= 2000 ÷ 4
= $500

1 set of Vaidev's salary = $180

Difference between each set of Ben's and Vaidev's salaries
= 500 - 180
= $320

Number of days in 1 set
= 320 ÷ 20
= 16

Number of days that Ben worked
= 4 x 16
= 64

Answer(s): (a) $180; (b) 64