PSLE David and Gabriel were paid a total of $4820 for a job they did. Gabriel was paid $1660 less than David.
- How much was Gabriel paid for the job?
- David and Gabriel were paid based on the number of days they worked. David worked 2 times as many days as Gabriel. David was paid $10 more than Gabriel per day. How many days did David work?
(a)
Amount that Gabriel was paid = 1 u
Amount that David was paid = 1 u + 1660
Total amount paid
= 1 u + 1 u + 1660
= 2 u + 1660
2 u + 1660 = 4820
2 u = 4820 - 1660
2 u = 3160
1 u = 3160 ÷ 2 = 1580
Amount that Gabriel was paid
= 1 u
= $1580
(b)
Amount that David was paid
= 1 u + 1660
= 1580 + 1660
= $3240
David worked 2 times as many days as Gabriel.
2 sets of David's salary = $3240
1 set of David's salary
= 3240 ÷ 2
= $1620
1 set of Gabriel's salary = $1580
Difference between each set of David's and Gabriel's salaries
= 1620 - 1580
= $40
Number of days in 1 set
= 40 ÷ 10
= 4
Number of days that David worked
= 2 x 4
= 8
Answer(s): (a) $1580; (b) 8