PSLE Jack and Glen were paid a total of $1790 for a job they did. Glen was paid $1170 less than Jack.
- How much was Glen paid for the job?
- Jack and Glen were paid based on the number of days they worked. Jack worked 4 times as many days as Glen. Jack was paid $5 more than Glen per day. How many days did Jack work?
(a)
Amount that Glen was paid = 1 u
Amount that Jack was paid = 1 u + 1170
Total amount paid
= 1 u + 1 u + 1170
= 2 u + 1170
2 u + 1170 = 1790
2 u = 1790 - 1170
2 u = 620
1 u = 620 ÷ 2 = 310
Amount that Glen was paid
= 1 u
= $310
(b)
Amount that Jack was paid
= 1 u + 1170
= 310 + 1170
= $1480
Jack worked 4 times as many days as Glen.
4 sets of Jack's salary = $1480
1 set of Jack's salary
= 1480 ÷ 4
= $370
1 set of Glen's salary = $310
Difference between each set of Jack's and Glen's salaries
= 370 - 310
= $60
Number of days in 1 set
= 60 ÷ 5
= 12
Number of days that Jack worked
= 4 x 12
= 48
Answer(s): (a) $310; (b) 48