Q:

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?

Accepted Solution

A:
Answer:28 StudentsStep-by-step explanation:Let's break down all of our variables.[tex]\dfrac{1}{4}[/tex] likes strawberry[tex]\dfrac{1}{2}[/tex] likes chocolate7 likes vanillaFirst 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 = 28There are 28 students total in Mrs. B's class.