PSLE Peter and Harry were paid a total of $4450 for a job they did. Peter was paid $1710 more than Harry.
- How much was Harry paid for the job?
- Peter and Harry were paid based on the number of days they worked. Peter worked 2 times as many days as Harry. Harry was paid $10 less than Peter per day. How many days did Peter work?
(a)
Amount that Harry was paid = 1 u
Amount that Peter was paid = 1 u + 1710
Total amount paid
= 1 u + 1 u + 1710
= 2 u + 1710
2 u + 1710 = 4450
2 u = 4450 - 1710
2 u = 2740
1 u = 2740 ÷ 2 = 1370
Amount that Harry was paid
= 1 u
= $1370
(b)
Amount that Peter was paid
= 1 u + 1710
= 1370 + 1710
= $3080
Peter worked 2 times as many days as Harry.
2 sets of Peter's salary = $3080
1 set of Peter's salary
= 3080 ÷ 2
= $1540
1 set of Harry's salary = $1370
Difference between each set of Peter's and Harry's salaries
= 1540 - 1370
= $170
Number of days in 1 set
= 170 ÷ 10
= 17
Number of days that Peter worked
= 2 x 17
= 34
Answer(s): (a) $1370; (b) 34