PSLE Lee and Jenson were paid a total of $2500 for a job they did. Lee was paid $1430 more than Jenson.
- How much was Jenson paid for the job?
- Lee and Jenson were paid based on the number of days they worked. Lee worked 3 times as many days as Jenson. Jenson was paid $15 less than Lee per day. How many days did Lee work?
(a)
Amount that Jenson was paid = 1 u
Amount that Lee was paid = 1 u + 1430
Total amount paid
= 1 u + 1 u + 1430
= 2 u + 1430
2 u + 1430 = 2500
2 u = 2500 - 1430
2 u = 1070
1 u = 1070 ÷ 2 = 535
Amount that Jenson was paid
= 1 u
= $535
(b)
Amount that Lee was paid
= 1 u + 1430
= 535 + 1430
= $1965
Lee worked 3 times as many days as Jenson.
3 sets of Lee's salary = $1965
1 set of Lee's salary
= 1965 ÷ 3
= $655
1 set of Jenson's salary = $535
Difference between each set of Lee's and Jenson's salaries
= 655 - 535
= $120
Number of days in 1 set
= 120 ÷ 15
= 8
Number of days that Lee worked
= 3 x 8
= 24
Answer(s): (a) $535; (b) 24