PSLE Warren and Sean were paid a total of $1640 for a job they did. Warren was paid $1270 more than Sean.
- How much was Sean paid for the job?
- Warren and Sean were paid based on the number of days they worked. Warren worked 3 times as many days as Sean. Sean was paid $20 less than Warren per day. How many days did Warren work?
(a)
Amount that Sean was paid = 1 u
Amount that Warren was paid = 1 u + 1270
Total amount paid
= 1 u + 1 u + 1270
= 2 u + 1270
2 u + 1270 = 1640
2 u = 1640 - 1270
2 u = 370
1 u = 370 ÷ 2 = 185
Amount that Sean was paid
= 1 u
= $185
(b)
Amount that Warren was paid
= 1 u + 1270
= 185 + 1270
= $1455
Warren worked 3 times as many days as Sean.
3 sets of Warren's salary = $1455
1 set of Warren's salary
= 1455 ÷ 3
= $485
1 set of Sean's salary = $185
Difference between each set of Warren's and Sean's salaries
= 485 - 185
= $300
Number of days in 1 set
= 300 ÷ 20
= 15
Number of days that Warren worked
= 3 x 15
= 45
Answer(s): (a) $185; (b) 45