The ratio of the number of adults to the Number of students at the prom 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 attended the prom?

Respuesta :

The number adults that  attended the prom is 53 adults

Let a represent  the number of adults that  attend the prom

Let b represent the number of students that  attend the prom  

Given

a/b = 1/10

Let multiply both the sides by 10b

b = 10a  Equation...(1)

Since there were more  477 students than adults

Hence:

b= a + 477  Equation...(2)

Now let Substitute Equation (2) into Equation (1)

a + 477 = 10a

Subtract a from both the sides

477 = 9a

Divide both sides by 9

a=477/9

a=53

Therefore the number adults that  attended the prom is 53 adults

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