PSLE Reggie and Ryan were paid a total of $2040 for a job they did. Ryan was paid $1320 less than Reggie.
- How much was Ryan paid for the job?
- Reggie and Ryan were paid based on the number of days they worked. Reggie worked 4 times as many days as Ryan. Reggie was paid $15 more than Ryan per day. How many days did Reggie work?
(a)
Amount that Ryan was paid = 1 u
Amount that Reggie was paid = 1 u + 1320
Total amount paid
= 1 u + 1 u + 1320
= 2 u + 1320
2 u + 1320 = 2040
2 u = 2040 - 1320
2 u = 720
1 u = 720 ÷ 2 = 360
Amount that Ryan was paid
= 1 u
= $360
(b)
Amount that Reggie was paid
= 1 u + 1320
= 360 + 1320
= $1680
Reggie worked 4 times as many days as Ryan.
4 sets of Reggie's salary = $1680
1 set of Reggie's salary
= 1680 ÷ 4
= $420
1 set of Ryan's salary = $360
Difference between each set of Reggie's and Ryan's salaries
= 420 - 360
= $60
Number of days in 1 set
= 60 ÷ 15
= 4
Number of days that Reggie worked
= 4 x 4
= 16
Answer(s): (a) $360; (b) 16