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The kids in Mrs. B's class did a survey about their favorite flavors of ice cream. One-fourth of the class likes strawberry the best. One-half of the class likes chocolate the best. The rest of the class, 7 kids, said vanilla is their favorite ice cream flavor. How many kids are in Mrs. B's class?

Respuesta :

DizzyBerco

Answer:

28 Students

Step-by-step explanation:

Let's break down all of our variables.

[tex]\dfrac{1}{4}[/tex] likes strawberry

[tex]\dfrac{1}{2}[/tex] likes chocolate

7 likes vanilla

First we need to combine the number of students that like strawberry and chocolate.

[tex]\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{3}{4}[/tex]

This then tells us that the 7 kids that like vanilla are the remaining [tex]\dfrac{1}{4}[/tex] of the class.

Let's use ratio to find out how many students there are in total.

[tex]\dfrac{1}{4}=\dfrac{7}{x}[/tex]

Let x = number of student in Mrs. B's class.

We need to multiply 4 to 7 and x to 1.

So that leave us with:

x = 28

There are 28 students total in Mrs. B's class.

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