PSLE Oscar and Jeremy were paid a total of $4650 for a job they did. Jeremy was paid $1630 less than Oscar.
- How much was Jeremy paid for the job?
- Oscar and Jeremy were paid based on the number of days they worked. Oscar worked 2 times as many days as Jeremy. Oscar was paid $20 more than Jeremy per day. How many days did Oscar work?
(a)
Amount that Jeremy was paid = 1 u
Amount that Oscar was paid = 1 u + 1630
Total amount paid
= 1 u + 1 u + 1630
= 2 u + 1630
2 u + 1630 = 4650
2 u = 4650 - 1630
2 u = 3020
1 u = 3020 ÷ 2 = 1510
Amount that Jeremy was paid
= 1 u
= $1510
(b)
Amount that Oscar was paid
= 1 u + 1630
= 1510 + 1630
= $3140
Oscar worked 2 times as many days as Jeremy.
2 sets of Oscar's salary = $3140
1 set of Oscar's salary
= 3140 ÷ 2
= $1570
1 set of Jeremy's salary = $1510
Difference between each set of Oscar's and Jeremy's salaries
= 1570 - 1510
= $60
Number of days in 1 set
= 60 ÷ 20
= 3
Number of days that Oscar worked
= 2 x 3
= 6
Answer(s): (a) $1510; (b) 6