PSLE Oscar and Julian were paid a total of $2840 for a job they did. Julian was paid $1510 less than Oscar.
- How much was Julian paid for the job?
- Oscar and Julian were paid based on the number of days they worked. Oscar worked 3 times as many days as Julian. Oscar was paid $5 more than Julian per day. How many days did Oscar work?
(a)
Amount that Julian was paid = 1 u
Amount that Oscar was paid = 1 u + 1510
Total amount paid
= 1 u + 1 u + 1510
= 2 u + 1510
2 u + 1510 = 2840
2 u = 2840 - 1510
2 u = 1330
1 u = 1330 ÷ 2 = 665
Amount that Julian was paid
= 1 u
= $665
(b)
Amount that Oscar was paid
= 1 u + 1510
= 665 + 1510
= $2175
Oscar worked 3 times as many days as Julian.
3 sets of Oscar's salary = $2175
1 set of Oscar's salary
= 2175 ÷ 3
= $725
1 set of Julian's salary = $665
Difference between each set of Oscar's and Julian's salaries
= 725 - 665
= $60
Number of days in 1 set
= 60 ÷ 5
= 12
Number of days that Oscar worked
= 3 x 12
= 36
Answer(s): (a) $665; (b) 36