PSLE
Fabian and Ivan were paid a total of $3750 for a job they did. Fabian was paid $1750 more than Ivan.

1. How much was Ivan paid for the job?
2. Fabian and Ivan were paid based on the number of days they worked. Fabian worked 2 times as many days as Ivan. Ivan was paid $25 less than Fabian per day. How many days did Fabian work? 

(a)
Amount that Ivan was paid = 1 u
Amount that Fabian was paid = 1 u + 1750

Total amount paid
= 1 u + 1 u + 1750
= 2 u + 1750

2 u + 1750 = 3750
2 u = 3750 - 1750
2 u = 2000

1 u = 2000 ÷ 2 = 1000

Amount that Ivan was paid
= 1 u
= $1000

(b)
Amount that Fabian was paid
= 1 u + 1750
= 1000 + 1750
= $2750

Fabian worked 2 times as many days as Ivan.

2 sets of Fabian's salary = $2750

1 set of Fabian's salary
= 2750 ÷ 2
= $1375

1 set of Ivan's salary = $1000

Difference between each set of Fabian's and Ivan's salaries
= 1375 - 1000
= $375

Number of days in 1 set
= 375 ÷ 25
= 15

Number of days that Fabian worked
= 2 x 15
= 30

Answer(s): (a) $1000; (b) 30