write an equation

Question

A class of 24 students hopes to collect 1,200 plastic bottles per week. in the first week ,the students collected 34 bottles each. this is not enough .how many more bottles per student must each class collect to meet the weekly goal of 1,200?

Answer 1

Let n be the number of weeks in the program. Let x be the number of extra bottles to be collected.

 

Then

 

n*1200 = 816 + (n-1)(1200+x)

 

x = 384/(n-1)

 

This makes sense since the shortfall of 384 has to be made up over the remainder of the program.