PSLE Henry and Gabriel were paid a total of $3310 for a job they did. Gabriel was paid $1210 less than Henry.
- How much was Gabriel paid for the job?
- Henry and Gabriel were paid based on the number of days they worked. Henry worked 2 times as many days as Gabriel. Henry was paid $10 more than Gabriel per day. How many days did Henry work?
(a)
Amount that Gabriel was paid = 1 u
Amount that Henry was paid = 1 u + 1210
Total amount paid
= 1 u + 1 u + 1210
= 2 u + 1210
2 u + 1210 = 3310
2 u = 3310 - 1210
2 u = 2100
1 u = 2100 ÷ 2 = 1050
Amount that Gabriel was paid
= 1 u
= $1050
(b)
Amount that Henry was paid
= 1 u + 1210
= 1050 + 1210
= $2260
Henry worked 2 times as many days as Gabriel.
2 sets of Henry's salary = $2260
1 set of Henry's salary
= 2260 ÷ 2
= $1130
1 set of Gabriel's salary = $1050
Difference between each set of Henry's and Gabriel's salaries
= 1130 - 1050
= $80
Number of days in 1 set
= 80 ÷ 10
= 8
Number of days that Henry worked
= 2 x 8
= 16
Answer(s): (a) $1050; (b) 16