PSLE Zeph and Bryan were paid a total of $2130 for a job they did. Zeph was paid $1200 more than Bryan.
- How much was Bryan paid for the job?
- Zeph and Bryan were paid based on the number of days they worked. Zeph worked 3 times as many days as Bryan. Bryan was paid $15 less than Zeph per day. How many days did Zeph work?
(a)
Amount that Bryan was paid = 1 u
Amount that Zeph was paid = 1 u + 1200
Total amount paid
= 1 u + 1 u + 1200
= 2 u + 1200
2 u + 1200 = 2130
2 u = 2130 - 1200
2 u = 930
1 u = 930 ÷ 2 = 465
Amount that Bryan was paid
= 1 u
= $465
(b)
Amount that Zeph was paid
= 1 u + 1200
= 465 + 1200
= $1665
Zeph worked 3 times as many days as Bryan.
3 sets of Zeph's salary = $1665
1 set of Zeph's salary
= 1665 ÷ 3
= $555
1 set of Bryan's salary = $465
Difference between each set of Zeph's and Bryan's salaries
= 555 - 465
= $90
Number of days in 1 set
= 90 ÷ 15
= 6
Number of days that Zeph worked
= 3 x 6
= 18
Answer(s): (a) $465; (b) 18