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pls..help guys im having trouble to answer this




in the fun run,students registration fee cost php35 and php50 for non students.the number of students who joined was 30 less than five times the number of non students.if the amount collected is php 9975 how many students and how many non students joined the event

Sagot :

Number of non-students: x
Number of students: 5x - 30   (30 less than five times the number of non-students)

Registration fees:
Non-students:  50 (x)
Students:  35 (5x - 30)
Total amount collected:  9, 975

Equation:
(50x) + (175x - 1050) = 9,975
50x + 175x - 1,050 = 9,975
225x = 9,975 + 1,050
225x = 11,025

225x/225 = 11,025
x = 49

Participants in the fun run:
Non-students: x = 49 students
Students: 5x-30   ⇒  5(49) - 30   ⇒  245 - 30 = 215 students.

There are 215 students and 49 students who joined the event.

Check: 
50 (49) + 215 (35) = 9,975
2,450 + 7,525 = 9,975
9,975 = 9,975