PSLE Will and Andy were paid a total of $1980 for a job they did. Andy was paid $1400 less than Will.
- How much was Andy paid for the job?
- Will and Andy were paid based on the number of days they worked. Will worked 5 times as many days as Andy. Will was paid $8 more than Andy per day. How many days did Will work?
(a)
Amount that Andy was paid = 1 u
Amount that Will was paid = 1 u + 1400
Total amount paid
= 1 u + 1 u + 1400
= 2 u + 1400
2 u + 1400 = 1980
2 u = 1980 - 1400
2 u = 580
1 u = 580 ÷ 2 = 290
Amount that Andy was paid
= 1 u
= $290
(b)
Amount that Will was paid
= 1 u + 1400
= 290 + 1400
= $1690
Will worked 5 times as many days as Andy.
5 sets of Will's salary = $1690
1 set of Will's salary
= 1690 ÷ 5
= $338
1 set of Andy's salary = $290
Difference between each set of Will's and Andy's salaries
= 338 - 290
= $48
Number of days in 1 set
= 48 ÷ 8
= 6
Number of days that Will worked
= 5 x 6
= 30
Answer(s): (a) $290; (b) 30