PSLE Will and Bobby were paid a total of $2860 for a job they did. Bobby was paid $1580 less than Will.
- How much was Bobby paid for the job?
- Will and Bobby were paid based on the number of days they worked. Will worked 3 times as many days as Bobby. Will was paid $25 more than Bobby per day. How many days did Will work?
(a)
Amount that Bobby was paid = 1 u
Amount that Will was paid = 1 u + 1580
Total amount paid
= 1 u + 1 u + 1580
= 2 u + 1580
2 u + 1580 = 2860
2 u = 2860 - 1580
2 u = 1280
1 u = 1280 ÷ 2 = 640
Amount that Bobby was paid
= 1 u
= $640
(b)
Amount that Will was paid
= 1 u + 1580
= 640 + 1580
= $2220
Will worked 3 times as many days as Bobby.
3 sets of Will's salary = $2220
1 set of Will's salary
= 2220 ÷ 3
= $740
1 set of Bobby's salary = $640
Difference between each set of Will's and Bobby's salaries
= 740 - 640
= $100
Number of days in 1 set
= 100 ÷ 25
= 4
Number of days that Will worked
= 3 x 4
= 12
Answer(s): (a) $640; (b) 12