# A team of 4 students participating in a math competition can solve nine problems correctly in 30 minutes. How many problems should a team of 5 students be able to solve?

Jul 25, 2017

A team of $5$ equally qualified students should be able to solve $11$ problems.

#### Explanation:

$4$ students can solve $9$ problems in $30 m$.
$5$ students can solve $x$ problems in $30 m$.

Then in the same $30 m$: $\frac{4}{9} = \frac{5}{x} \to \mathmr{and} 4 x = 45$

So: $x = \frac{45}{4} = 11 \frac{1}{4}$

But we know that $\frac{1}{4}$ of a math question would be outrageous.

So the answer to this math question is $11$.