PSLE Elijah and Henry were paid a total of $2480 for a job they did. Henry was paid $1270 less than Elijah.
- How much was Henry paid for the job?
- Elijah and Henry were paid based on the number of days they worked. Elijah worked 3 times as many days as Henry. Elijah was paid $4 more than Henry per day. How many days did Elijah work?
(a)
Amount that Henry was paid = 1 u
Amount that Elijah was paid = 1 u + 1270
Total amount paid
= 1 u + 1 u + 1270
= 2 u + 1270
2 u + 1270 = 2480
2 u = 2480 - 1270
2 u = 1210
1 u = 1210 ÷ 2 = 605
Amount that Henry was paid
= 1 u
= $605
(b)
Amount that Elijah was paid
= 1 u + 1270
= 605 + 1270
= $1875
Elijah worked 3 times as many days as Henry.
3 sets of Elijah's salary = $1875
1 set of Elijah's salary
= 1875 ÷ 3
= $625
1 set of Henry's salary = $605
Difference between each set of Elijah's and Henry's salaries
= 625 - 605
= $20
Number of days in 1 set
= 20 ÷ 4
= 5
Number of days that Elijah worked
= 3 x 5
= 15
Answer(s): (a) $605; (b) 15