PSLE Andy and Dylan were paid a total of $2500 for a job they did. Dylan was paid $1310 less than Andy.
- How much was Dylan paid for the job?
- Andy and Dylan were paid based on the number of days they worked. Andy worked 3 times as many days as Dylan. Andy was paid $5 more than Dylan per day. How many days did Andy work?
(a)
Amount that Dylan was paid = 1 u
Amount that Andy was paid = 1 u + 1310
Total amount paid
= 1 u + 1 u + 1310
= 2 u + 1310
2 u + 1310 = 2500
2 u = 2500 - 1310
2 u = 1190
1 u = 1190 ÷ 2 = 595
Amount that Dylan was paid
= 1 u
= $595
(b)
Amount that Andy was paid
= 1 u + 1310
= 595 + 1310
= $1905
Andy worked 3 times as many days as Dylan.
3 sets of Andy's salary = $1905
1 set of Andy's salary
= 1905 ÷ 3
= $635
1 set of Dylan's salary = $595
Difference between each set of Andy's and Dylan's salaries
= 635 - 595
= $40
Number of days in 1 set
= 40 ÷ 5
= 8
Number of days that Andy worked
= 3 x 8
= 24
Answer(s): (a) $595; (b) 24