PSLE Howard and Daniel were paid a total of $1740 for a job they did. Daniel was paid $1140 less than Howard.
- How much was Daniel paid for the job?
- Howard and Daniel were paid based on the number of days they worked. Howard worked 3 times as many days as Daniel. Howard was paid $15 more than Daniel per day. How many days did Howard work?
(a)
Amount that Daniel was paid = 1 u
Amount that Howard was paid = 1 u + 1140
Total amount paid
= 1 u + 1 u + 1140
= 2 u + 1140
2 u + 1140 = 1740
2 u = 1740 - 1140
2 u = 600
1 u = 600 ÷ 2 = 300
Amount that Daniel was paid
= 1 u
= $300
(b)
Amount that Howard was paid
= 1 u + 1140
= 300 + 1140
= $1440
Howard worked 3 times as many days as Daniel.
3 sets of Howard's salary = $1440
1 set of Howard's salary
= 1440 ÷ 3
= $480
1 set of Daniel's salary = $300
Difference between each set of Howard's and Daniel's salaries
= 480 - 300
= $180
Number of days in 1 set
= 180 ÷ 15
= 12
Number of days that Howard worked
= 3 x 12
= 36
Answer(s): (a) $300; (b) 36