PSLE Ryan and Ivan were paid a total of $2920 for a job they did. Ivan was paid $1140 less than Ryan.
- How much was Ivan paid for the job?
- Ryan and Ivan were paid based on the number of days they worked. Ryan worked 2 times as many days as Ivan. Ryan was paid $25 more than Ivan per day. How many days did Ryan work?
(a)
Amount that Ivan was paid = 1 u
Amount that Ryan was paid = 1 u + 1140
Total amount paid
= 1 u + 1 u + 1140
= 2 u + 1140
2 u + 1140 = 2920
2 u = 2920 - 1140
2 u = 1780
1 u = 1780 ÷ 2 = 890
Amount that Ivan was paid
= 1 u
= $890
(b)
Amount that Ryan was paid
= 1 u + 1140
= 890 + 1140
= $2030
Ryan worked 2 times as many days as Ivan.
2 sets of Ryan's salary = $2030
1 set of Ryan's salary
= 2030 ÷ 2
= $1015
1 set of Ivan's salary = $890
Difference between each set of Ryan's and Ivan's salaries
= 1015 - 890
= $125
Number of days in 1 set
= 125 ÷ 25
= 5
Number of days that Ryan worked
= 2 x 5
= 10
Answer(s): (a) $890; (b) 10