Question

The art club is sponsoring four art shows. the yhope the average attendance for the four shows will be between 100 and 120, inclusive. the attendance for the first three shows was 1000, 105, and 91. what possible attendance numbers for the fourth show will allow them to reach their goal

Answer 1

Let x be the attendance in the fourth show to reach the average they want.

So to solve:

 

100 + 105 + 91 + x

-----------------------             >     100

               4

 

296 + x

---------------      >     100

     4

 

Then, multiply both sides by 4 and the result is:

 

296 + x > 400

X > 400 – 296

X > 104 is the number to achieve the desired attendance average