Question

The science fair judges will be science teachers and volunteers. Each judge will only have time to view 5 science fair projects. There are 133 science teachers. What is the fewest number of volunteers needed to have enough judges for all of the projects?

Answer 1

Answer: The fewest number of volunteers needed to have enough judges for all of the projects is 2.

Step-by-step explanation:

Number of science teachers = 133

Number of science fair projects viewed by each judge = 5

Let the number of judge be n

Since number of volunteers must be multiple of 5 .

According to question,

$5n=135+\text{number of volunteers}\\\\\text{ where, n is a natural number and number of volunteer must be integer}$

So, Possibility for number of volunteers must be 2 to make it divisible by 5.

$5n=133+2\\\\5n=135\\\\n=\frac{135}{5}\\\\n=27$

Hence, the fewest number of volunteers needed to have enough judges for all of the projects is 2.

Answer 2

The answer is twenty seven