PSLE
Fred and Ryan were paid a total of $1830 for a job they did. Fred was paid $1290 more than Ryan.

1. How much was Ryan paid for the job?
2. Fred and Ryan were paid based on the number of days they worked. Fred worked 4 times as many days as Ryan. Ryan was paid $10 less than Fred per day. How many days did Fred work? 

(a)
Amount that Ryan was paid = 1 u
Amount that Fred was paid = 1 u + 1290

Total amount paid
= 1 u + 1 u + 1290
= 2 u + 1290

2 u + 1290 = 1830
2 u = 1830 - 1290
2 u = 540

1 u = 540 ÷ 2 = 270

Amount that Ryan was paid
= 1 u
= $270

(b)
Amount that Fred was paid
= 1 u + 1290
= 270 + 1290
= $1560

Fred worked 4 times as many days as Ryan.

4 sets of Fred's salary = $1560

1 set of Fred's salary
= 1560 ÷ 4
= $390

1 set of Ryan's salary = $270

Difference between each set of Fred's and Ryan's salaries
= 390 - 270
= $120

Number of days in 1 set
= 120 ÷ 10
= 12

Number of days that Fred worked
= 4 x 12
= 48

Answer(s): (a) $270; (b) 48