PSLE Eric and Howard were paid a total of $2040 for a job they did. Howard was paid $1460 less than Eric.
- How much was Howard paid for the job?
- Eric and Howard were paid based on the number of days they worked. Eric worked 5 times as many days as Howard. Eric was paid $12 more than Howard per day. How many days did Eric work?
(a)
Amount that Howard was paid = 1 u
Amount that Eric was paid = 1 u + 1460
Total amount paid
= 1 u + 1 u + 1460
= 2 u + 1460
2 u + 1460 = 2040
2 u = 2040 - 1460
2 u = 580
1 u = 580 ÷ 2 = 290
Amount that Howard was paid
= 1 u
= $290
(b)
Amount that Eric was paid
= 1 u + 1460
= 290 + 1460
= $1750
Eric worked 5 times as many days as Howard.
5 sets of Eric's salary = $1750
1 set of Eric's salary
= 1750 ÷ 5
= $350
1 set of Howard's salary = $290
Difference between each set of Eric's and Howard's salaries
= 350 - 290
= $60
Number of days in 1 set
= 60 ÷ 12
= 5
Number of days that Eric worked
= 5 x 5
= 25
Answer(s): (a) $290; (b) 25