The ratio of the number of adults to the number of students at the prom has to be 1:10. Last year there were
477 more students than adults at the prom. If the school is expecting the same attendance this year, how many
adults have to attend the prom?



Answer :

The number of adults who have to attend the prom are 53

According to the question we have been given the ratio of number of adults to the number of students attending the prom which is :

                    [tex]\frac{x}{y} = \frac{1}{10}[/tex]          (1)

where, x = number of adults

and y = number of students attending the prom

Now equation (1) can be written as

                  y = 10x    (2)

That is number of students that attend the prom will be 10times the number of adults.

Now we have been given that there were 477 more students

                  y = x + 477

Now putting the value of y from equation (2) we get

               10x = x+477

                9x = 477

                  x = 53

Thus if the school is expecting the same attendance this year, then total 53 adults have to attend the prom.

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