At a movie night,1/4 of the persons were boys,5/8 were girls and the rest were adults.If there were 56 more girls than adults how many persons were in total?

Answers

Answer 1

Given:

Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.

Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.

Remaining persons are adults.

There were 56 more girls than adults.

To find:

The number of total persons.

Solution:

Let x be the number of total persons. Then,

Number of boys = [tex]\dfrac{1}{4}x[/tex]

Number of girls = [tex]\dfrac{5}{8}x[/tex]

Number of adults = Total persons - Boys - Girls

                             = [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]

                             = [tex]\dfrac{8x-2x-5x}{8}[/tex]

                             = [tex]\dfrac{x}{8}[/tex]

There were 56 more girls than adults.

Girls = Adults + 56

[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]

[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]

[tex]\dfrac{4}{8}x=56[/tex]

[tex]\dfrac{1}{2}x=56[/tex]

Multiply both sides by 2.

[tex]x=112[/tex]

Therefore, the total number of persons is 112.


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Step-by-step explanation:

Adjecent angle: Two angles that have the same vertex and one side in common.

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Step-by-step explanation:

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Step-by-step explanation:

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It entails gathering or studying data.It cannot be replied to with a straightforward yes or no.It queries dispersion or variability within a population or group of data.It aims to derive broad inferences from data.It provides for a variety of potential solutions or results.

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Step-by-step explanation:

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Answer:

The system of equations that can be used to find the number of each type sold is given as:

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Answers

Answer:

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Answers

Answer:

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