PSLE Howard and Liam were paid a total of $3420 for a job they did. Liam was paid $1400 less than Howard.
- How much was Liam paid for the job?
- Howard and Liam were paid based on the number of days they worked. Howard worked 2 times as many days as Liam. Howard was paid $15 more than Liam per day. How many days did Howard work?
(a)
Amount that Liam was paid = 1 u
Amount that Howard was paid = 1 u + 1400
Total amount paid
= 1 u + 1 u + 1400
= 2 u + 1400
2 u + 1400 = 3420
2 u = 3420 - 1400
2 u = 2020
1 u = 2020 ÷ 2 = 1010
Amount that Liam was paid
= 1 u
= $1010
(b)
Amount that Howard was paid
= 1 u + 1400
= 1010 + 1400
= $2410
Howard worked 2 times as many days as Liam.
2 sets of Howard's salary = $2410
1 set of Howard's salary
= 2410 ÷ 2
= $1205
1 set of Liam's salary = $1010
Difference between each set of Howard's and Liam's salaries
= 1205 - 1010
= $195
Number of days in 1 set
= 195 ÷ 15
= 13
Number of days that Howard worked
= 2 x 13
= 26
Answer(s): (a) $1010; (b) 26