Ther 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?

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calculista calculista · Answer 1 · 2019-08-30T16:03:00+02:00

Answer:

53 adults

Step-by-step explanation:

Let

x---------> the number of adults

y -------> the number of students

we know that

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

[tex]y=10x[/tex] -----> equation A

[tex]y=x+477[/tex] -----> equation B

Equate equation A and equation B

[tex]10x=x+477[/tex]

solve for x

[tex]10x-x=477[/tex]

[tex]9x=477[/tex]

[tex]x=53[/tex]

therefore

There are 53 adults

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