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For every group of 20 students, 5 bring their lunch from home and 15 buy their lunch. How many students out of 100 bring their lunch from home?

Answer :

Answer:

25

Step-by-step explanation:

20 x 5 = 100

5 x 5 = 25

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Rewritten by : Barada

Answer:

Solve the question by setting the two fractions equal to each other.

[tex]\frac{5}{20} =\frac{x}{100}[/tex]

Using the butterfly method, we find that 25 students out of every 100 bring lunch from home.

Step-by-step explanation:

Step one - set up the equation:

Five out of every 20 students bring lunch from home. This is represented as 5/20. Some amount from every 100 students bring lunch from home; this is represented as x/100. These two fractions must be equal, so we create the equation [tex]\frac{5}{20} =\frac{x}{100}[/tex].

Step two - butterfly method:

In the butterfly method, cross-multiply the fractions to get [tex]5*100=20x[/tex]. Solving for x gives us:

[tex]500 = 20x\\25 = x[/tex]

Therefore, 25 out of every 100 students bring lunch from home.