PSLE Ryan and Elijah were paid a total of $2800 for a job they did. Elijah was paid $1670 less than Ryan.
- How much was Elijah paid for the job?
- Ryan and Elijah were paid based on the number of days they worked. Ryan worked 3 times as many days as Elijah. Ryan was paid $20 more than Elijah per day. How many days did Ryan work?
(a)
Amount that Elijah was paid = 1 u
Amount that Ryan was paid = 1 u + 1670
Total amount paid
= 1 u + 1 u + 1670
= 2 u + 1670
2 u + 1670 = 2800
2 u = 2800 - 1670
2 u = 1130
1 u = 1130 ÷ 2 = 565
Amount that Elijah was paid
= 1 u
= $565
(b)
Amount that Ryan was paid
= 1 u + 1670
= 565 + 1670
= $2235
Ryan worked 3 times as many days as Elijah.
3 sets of Ryan's salary = $2235
1 set of Ryan's salary
= 2235 ÷ 3
= $745
1 set of Elijah's salary = $565
Difference between each set of Ryan's and Elijah's salaries
= 745 - 565
= $180
Number of days in 1 set
= 180 ÷ 20
= 9
Number of days that Ryan worked
= 3 x 9
= 27
Answer(s): (a) $565; (b) 27