PSLE
Riordan and Valen were paid a total of $3450 for a job they did. Riordan was paid $1390 more than Valen.

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

(a)
Amount that Valen was paid = 1 u
Amount that Riordan was paid = 1 u + 1390

Total amount paid
= 1 u + 1 u + 1390
= 2 u + 1390

2 u + 1390 = 3450
2 u = 3450 - 1390
2 u = 2060

1 u = 2060 ÷ 2 = 1030

Amount that Valen was paid
= 1 u
= $1030

(b)
Amount that Riordan was paid
= 1 u + 1390
= 1030 + 1390
= $2420

Riordan worked 2 times as many days as Valen.

2 sets of Riordan's salary = $2420

1 set of Riordan's salary
= 2420 ÷ 2
= $1210

1 set of Valen's salary = $1030

Difference between each set of Riordan's and Valen's salaries
= 1210 - 1030
= $180

Number of days in 1 set
= 180 ÷ 10
= 18

Number of days that Riordan worked
= 2 x 18
= 36

Answer(s): (a) $1030; (b) 36