PSLE Ben and Pierre were paid a total of $2430 for a job they did. Pierre was paid $1620 less than Ben.
- How much was Pierre paid for the job?
- Ben and Pierre were paid based on the number of days they worked. Ben worked 3 times as many days as Pierre. Ben was paid $15 more than Pierre per day. How many days did Ben work?
(a)
Amount that Pierre was paid = 1 u
Amount that Ben was paid = 1 u + 1620
Total amount paid
= 1 u + 1 u + 1620
= 2 u + 1620
2 u + 1620 = 2430
2 u = 2430 - 1620
2 u = 810
1 u = 810 ÷ 2 = 405
Amount that Pierre was paid
= 1 u
= $405
(b)
Amount that Ben was paid
= 1 u + 1620
= 405 + 1620
= $2025
Ben worked 3 times as many days as Pierre.
3 sets of Ben's salary = $2025
1 set of Ben's salary
= 2025 ÷ 3
= $675
1 set of Pierre's salary = $405
Difference between each set of Ben's and Pierre's salaries
= 675 - 405
= $270
Number of days in 1 set
= 270 ÷ 15
= 18
Number of days that Ben worked
= 3 x 18
= 54
Answer(s): (a) $405; (b) 54