PSLE Andy and Mark were paid a total of $2660 for a job they did. Andy was paid $980 more than Mark.
- How much was Mark paid for the job?
- Andy and Mark were paid based on the number of days they worked. Andy worked 2 times as many days as Mark. Mark was paid $10 less than Andy per day. How many days did Andy work?
(a)
Amount that Mark was paid = 1 u
Amount that Andy was paid = 1 u + 980
Total amount paid
= 1 u + 1 u + 980
= 2 u + 980
2 u + 980 = 2660
2 u = 2660 - 980
2 u = 1680
1 u = 1680 ÷ 2 = 840
Amount that Mark was paid
= 1 u
= $840
(b)
Amount that Andy was paid
= 1 u + 980
= 840 + 980
= $1820
Andy worked 2 times as many days as Mark.
2 sets of Andy's salary = $1820
1 set of Andy's salary
= 1820 ÷ 2
= $910
1 set of Mark's salary = $840
Difference between each set of Andy's and Mark's salaries
= 910 - 840
= $70
Number of days in 1 set
= 70 ÷ 10
= 7
Number of days that Andy worked
= 2 x 7
= 14
Answer(s): (a) $840; (b) 14