Respuesta :
Answer:
[tex]16:27[/tex]
Step-by-step explanation:
GIVEN: At [tex]11:00\text{ A.M.}[/tex], there are [tex]400[/tex] members and [tex]150[/tex] non-members visiting a museum. After [tex]11:00\text{ A.M.}[/tex], [tex]10[/tex] members leave every five minutes and [tex]5[/tex] non-members arrive every five minutes.
TO FIND: ratio of members to non-members at [tex]1:00\text{ P.M.}[/tex]
SOLUTION:
Total number of members in museum at [tex]11:00\text{ A.M.}[/tex] [tex]=400[/tex]
as after every [tex]5[/tex] minutes [tex]10[/tex] members leave
total number of [tex]5[/tex] minutes interval in [tex]2[/tex] hour [tex]=\frac{60}{5}=12[/tex]
total members at [tex]1:00\text{ P.M.}[/tex] [tex]=400-10\times24[/tex]
[tex]=160[/tex]
Total number of non-members in museum at [tex]11:00\text{ A.M.}[/tex] [tex]=150[/tex]
as after every [tex]5[/tex] minutes [tex]5[/tex] non-members arrive
total number of [tex]5[/tex] minutes interval in [tex]2[/tex] hour [tex]=\frac{60}{5}=12[/tex]
total non-members at [tex]1:00\text{ P.M.}[/tex] [tex]=150+5\times24[/tex]
[tex]=270[/tex]
ratio of members to non-members at [tex]1:00\text{ P.M.}[/tex] [tex]=\frac{\text{number of members}}{\text{number of non-members}}[/tex]
[tex]=\frac{160}{270}[/tex]
[tex]=\frac{16}{27}[/tex]
Hence the ratio of members to non-members at [tex]1:00\text{ P.M.}[/tex] is [tex]\frac{16}{27}[/tex]
