PSLE
Ivan and Oliver were paid a total of $1560 for a job they did. Oliver was paid $1190 less than Ivan.

1. How much was Oliver paid for the job?
2. Ivan and Oliver were paid based on the number of days they worked. Ivan worked 5 times as many days as Oliver. Ivan was paid $10 more than Oliver per day. How many days did Ivan work? 

(a)
Amount that Oliver was paid = 1 u
Amount that Ivan was paid = 1 u + 1190

Total amount paid
= 1 u + 1 u + 1190
= 2 u + 1190

2 u + 1190 = 1560
2 u = 1560 - 1190
2 u = 370

1 u = 370 ÷ 2 = 185

Amount that Oliver was paid
= 1 u
= $185

(b)
Amount that Ivan was paid
= 1 u + 1190
= 185 + 1190
= $1375

Ivan worked 5 times as many days as Oliver.

5 sets of Ivan's salary = $1375

1 set of Ivan's salary
= 1375 ÷ 5
= $275

1 set of Oliver's salary = $185

Difference between each set of Ivan's and Oliver's salaries
= 275 - 185
= $90

Number of days in 1 set
= 90 ÷ 10
= 9

Number of days that Ivan worked
= 5 x 9
= 45

Answer(s): (a) $185; (b) 45