PSLE Simon and Rael were paid a total of $2340 for a job they did. Rael was paid $1760 less than Simon.
- How much was Rael paid for the job?
- Simon and Rael were paid based on the number of days they worked. Simon worked 5 times as many days as Rael. Simon was paid $8 more than Rael per day. How many days did Simon work?
(a)
Amount that Rael was paid = 1 u
Amount that Simon was paid = 1 u + 1760
Total amount paid
= 1 u + 1 u + 1760
= 2 u + 1760
2 u + 1760 = 2340
2 u = 2340 - 1760
2 u = 580
1 u = 580 ÷ 2 = 290
Amount that Rael was paid
= 1 u
= $290
(b)
Amount that Simon was paid
= 1 u + 1760
= 290 + 1760
= $2050
Simon worked 5 times as many days as Rael.
5 sets of Simon's salary = $2050
1 set of Simon's salary
= 2050 ÷ 5
= $410
1 set of Rael's salary = $290
Difference between each set of Simon's and Rael's salaries
= 410 - 290
= $120
Number of days in 1 set
= 120 ÷ 8
= 15
Number of days that Simon worked
= 5 x 15
= 75
Answer(s): (a) $290; (b) 75