PSLE Tommy and Asher were paid a total of $3880 for a job they did. Asher was paid $1560 less than Tommy.
- How much was Asher paid for the job?
- Tommy and Asher were paid based on the number of days they worked. Tommy worked 2 times as many days as Asher. Tommy was paid $20 more than Asher per day. How many days did Tommy work?
(a)
Amount that Asher was paid = 1 u
Amount that Tommy was paid = 1 u + 1560
Total amount paid
= 1 u + 1 u + 1560
= 2 u + 1560
2 u + 1560 = 3880
2 u = 3880 - 1560
2 u = 2320
1 u = 2320 ÷ 2 = 1160
Amount that Asher was paid
= 1 u
= $1160
(b)
Amount that Tommy was paid
= 1 u + 1560
= 1160 + 1560
= $2720
Tommy worked 2 times as many days as Asher.
2 sets of Tommy's salary = $2720
1 set of Tommy's salary
= 2720 ÷ 2
= $1360
1 set of Asher's salary = $1160
Difference between each set of Tommy's and Asher's salaries
= 1360 - 1160
= $200
Number of days in 1 set
= 200 ÷ 20
= 10
Number of days that Tommy worked
= 2 x 10
= 20
Answer(s): (a) $1160; (b) 20