Question

At 11:00 a.M., there are 400 members and 150 non-members visiting a museum. After 11:00 a.M., 10 members leave every five minutes and 5 non-members arrive every five minutes. What is the ratio of members to non-members at 1:00 p.M.?

Answer 1

Answer:

$16:27$

Step-by-step explanation:

GIVEN: At $11:00\text{ A.M.}$, there are $400$ members and $150$ non-members visiting a museum. After $11:00\text{ A.M.}$,  $10$ members leave every five minutes and $5$ non-members arrive every five minutes.

TO FIND: ratio of members to non-members at $1:00\text{ P.M.}$

SOLUTION:

Total number of members in museum at $11:00\text{ A.M.}$ $=400$

as after every $5$ minutes $10$ members leave

total number of  $5$ minutes interval in $2$ hour $=\frac{60}{5}=12$

total members at  $1:00\text{ P.M.}$  $=400-10\times24$

                                                $=160$

Total number of non-members in museum at  $11:00\text{ A.M.}$ $=150$

as after every $5$ minutes $5$ non-members arrive

total number of  $5$ minutes interval in $2$ hour $=\frac{60}{5}=12$

total non-members at  $1:00\text{ P.M.}$  $=150+5\times24$

                                                        $=270$

ratio of members to non-members at   $1:00\text{ P.M.}$  $=\frac{\text{number of members}}{\text{number of non-members}}$

                                                                                  $=\frac{160}{270}$

                                                                                  $=\frac{16}{27}$

Hence the ratio of members to non-members at $1:00\text{ P.M.}$ is $\frac{16}{27}$