PSLE Ahmad and Owen were paid a total of $4010 for a job they did. Owen was paid $1370 less than Ahmad.
- How much was Owen paid for the job?
- Ahmad and Owen were paid based on the number of days they worked. Ahmad worked 2 times as many days as Owen. Ahmad was paid $5 more than Owen per day. How many days did Ahmad work?
(a)
Amount that Owen was paid = 1 u
Amount that Ahmad was paid = 1 u + 1370
Total amount paid
= 1 u + 1 u + 1370
= 2 u + 1370
2 u + 1370 = 4010
2 u = 4010 - 1370
2 u = 2640
1 u = 2640 ÷ 2 = 1320
Amount that Owen was paid
= 1 u
= $1320
(b)
Amount that Ahmad was paid
= 1 u + 1370
= 1320 + 1370
= $2690
Ahmad worked 2 times as many days as Owen.
2 sets of Ahmad's salary = $2690
1 set of Ahmad's salary
= 2690 ÷ 2
= $1345
1 set of Owen's salary = $1320
Difference between each set of Ahmad's and Owen's salaries
= 1345 - 1320
= $25
Number of days in 1 set
= 25 ÷ 5
= 5
Number of days that Ahmad worked
= 2 x 5
= 10
Answer(s): (a) $1320; (b) 10