Question

According to the graph above, in which year was the ratio of the number of students enrolled at School $B$ to the number of students enrolled at School $A$ the greatest?

• A. $1990$
• B. $1991$
• C. $1992$
• D. $1993$
• E. $1994$

Answer 1

Answer: (E)

$1994$

As per given graph:

In year $1990$ number of students enrolled at school $B$ is $1200$ and school $A$ is $800$

Then ratio of $B$ to $A$ $=$ $\frac{1200}{800}=\frac{3}{2}$

In year $1991$ number of students enrolled at school $B$ is $800$ and school $A$ is $1600$

Then ratio of $B$ to $A$ $=$ $\frac{800}{1600}=\frac{1}{2}$

In year $1992$ number of students enrolled at school $B$ is $2000$ and school $A$ is $1200$

Then ratio of $B$ to $A$ $=$ $\frac{2000}{1200}=\frac{5}{3}$

In year $1993$ number of students enrolled at school $B$ is $1600$ and school $A$ is $1600$

Then ratio of $B$ to $A$ $=$ $\frac{1600}{1600}=\frac{1}{1}$

In year $1994$ number of students enrolled at school $B$ is $1600$ and school $A$ is $800$

Then ratio of $B$ to $A$ $=$ $\frac{1600}{800}=\frac{2}{1}$

Then in year $1994$ the ratio is greatest

So, answer is $\left(E\right)$, $1994$ is correct.