PSLE Ryan and Brandon were paid a total of $2520 for a job they did. Brandon was paid $1560 less than Ryan.
- How much was Brandon paid for the job?
- Ryan and Brandon were paid based on the number of days they worked. Ryan worked 4 times as many days as Brandon. Ryan was paid $5 more than Brandon per day. How many days did Ryan work?
(a)
Amount that Brandon was paid = 1 u
Amount that Ryan was paid = 1 u + 1560
Total amount paid
= 1 u + 1 u + 1560
= 2 u + 1560
2 u + 1560 = 2520
2 u = 2520 - 1560
2 u = 960
1 u = 960 ÷ 2 = 480
Amount that Brandon was paid
= 1 u
= $480
(b)
Amount that Ryan was paid
= 1 u + 1560
= 480 + 1560
= $2040
Ryan worked 4 times as many days as Brandon.
4 sets of Ryan's salary = $2040
1 set of Ryan's salary
= 2040 ÷ 4
= $510
1 set of Brandon's salary = $480
Difference between each set of Ryan's and Brandon's salaries
= 510 - 480
= $30
Number of days in 1 set
= 30 ÷ 5
= 6
Number of days that Ryan worked
= 4 x 6
= 24
Answer(s): (a) $480; (b) 24