PSLE
Warren and Ivan were paid a total of $2330 for a job they did. Warren was paid $1390 more than Ivan.

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

(a)
Amount that Ivan was paid = 1 u
Amount that Warren was paid = 1 u + 1390

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

2 u + 1390 = 2330
2 u = 2330 - 1390
2 u = 940

1 u = 940 ÷ 2 = 470

Amount that Ivan was paid
= 1 u
= $470

(b)
Amount that Warren was paid
= 1 u + 1390
= 470 + 1390
= $1860

Warren worked 3 times as many days as Ivan.

3 sets of Warren's salary = $1860

1 set of Warren's salary
= 1860 ÷ 3
= $620

1 set of Ivan's salary = $470

Difference between each set of Warren's and Ivan's salaries
= 620 - 470
= $150

Number of days in 1 set
= 150 ÷ 15
= 10

Number of days that Warren worked
= 3 x 10
= 30

Answer(s): (a) $470; (b) 30