PSLE Elijah and Andy were paid a total of $2250 for a job they did. Andy was paid $1840 less than Elijah.
- How much was Andy paid for the job?
- Elijah and Andy were paid based on the number of days they worked. Elijah worked 5 times as many days as Andy. Elijah was paid $12 more than Andy per day. How many days did Elijah work?
(a)
Amount that Andy was paid = 1 u
Amount that Elijah was paid = 1 u + 1840
Total amount paid
= 1 u + 1 u + 1840
= 2 u + 1840
2 u + 1840 = 2250
2 u = 2250 - 1840
2 u = 410
1 u = 410 ÷ 2 = 205
Amount that Andy was paid
= 1 u
= $205
(b)
Amount that Elijah was paid
= 1 u + 1840
= 205 + 1840
= $2045
Elijah worked 5 times as many days as Andy.
5 sets of Elijah's salary = $2045
1 set of Elijah's salary
= 2045 ÷ 5
= $409
1 set of Andy's salary = $205
Difference between each set of Elijah's and Andy's salaries
= 409 - 205
= $204
Number of days in 1 set
= 204 ÷ 12
= 17
Number of days that Elijah worked
= 5 x 17
= 85
Answer(s): (a) $205; (b) 85