PSLE
Rael and Warren were paid a total of $2590 for a job they did. Warren was paid $1610 less than Rael.

1. How much was Warren paid for the job?
2. Rael and Warren were paid based on the number of days they worked. Rael worked 3 times as many days as Warren. Rael was paid $15 more than Warren per day. How many days did Rael work? 

(a)
Amount that Warren was paid = 1 u
Amount that Rael was paid = 1 u + 1610

Total amount paid
= 1 u + 1 u + 1610
= 2 u + 1610

2 u + 1610 = 2590
2 u = 2590 - 1610
2 u = 980

1 u = 980 ÷ 2 = 490

Amount that Warren was paid
= 1 u
= $490

(b)
Amount that Rael was paid
= 1 u + 1610
= 490 + 1610
= $2100

Rael worked 3 times as many days as Warren.

3 sets of Rael's salary = $2100

1 set of Rael's salary
= 2100 ÷ 3
= $700

1 set of Warren's salary = $490

Difference between each set of Rael's and Warren's salaries
= 700 - 490
= $210

Number of days in 1 set
= 210 ÷ 15
= 14

Number of days that Rael worked
= 3 x 14
= 42

Answer(s): (a) $490; (b) 42