PSLE Jenson and George were paid a total of $3010 for a job they did. Jenson was paid $1640 more than George.
- How much was George paid for the job?
- Jenson and George were paid based on the number of days they worked. Jenson worked 3 times as many days as George. George was paid $15 less than Jenson per day. How many days did Jenson work?
(a)
Amount that George was paid = 1 u
Amount that Jenson was paid = 1 u + 1640
Total amount paid
= 1 u + 1 u + 1640
= 2 u + 1640
2 u + 1640 = 3010
2 u = 3010 - 1640
2 u = 1370
1 u = 1370 ÷ 2 = 685
Amount that George was paid
= 1 u
= $685
(b)
Amount that Jenson was paid
= 1 u + 1640
= 685 + 1640
= $2325
Jenson worked 3 times as many days as George.
3 sets of Jenson's salary = $2325
1 set of Jenson's salary
= 2325 ÷ 3
= $775
1 set of George's salary = $685
Difference between each set of Jenson's and George's salaries
= 775 - 685
= $90
Number of days in 1 set
= 90 ÷ 15
= 6
Number of days that Jenson worked
= 3 x 6
= 18
Answer(s): (a) $685; (b) 18