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Callie asks her fellow sixth-grade students to name their favorite ice cream flavor. She finds that 3 of every 8 students prefer strawberry to vanilla. if there are 160 students, how many prefer strawberry?

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Jaison N. | A PhD to Teach You Math and PhysicsA PhD to Teach You Math and Physics
4.9 4.9 (150 lesson ratings) (150)

This is a proportionality problem and you can write out an equation with an unknown if necessary. Problems like this will pop up on tests like the SAT's. The information given says that every 8 kids I talk to, 3 will prefer strawberry. So if I ask 16 kids, 6 will prefer strawberry, and if I ask 24 kids, 9 will prefer strawberry. This means that no matter how many kids I talk to, the number that prefer strawberry divided by the total numbers of kids will be 3/8. So, we can write out an equation 

3/8 = x/160 since there are 160 kids. Solving for x gives the same answers given above.

George T. | George T.--"It's All About Math!"George T.--"It's All About Math!"


Another way of stating this problem is that "three-eighths of the students prefer strawberry to vanilla".  This can be written numerically as (3/8) of 160 students or (3/8) * 160, which is equal to 60.  Note that in a typical word problem,  the word "of" can usually be replaced with multiplication sign (*).

Have a good summer!

George T

Mike C. | Enthusiastic Tutor for Middle and High School StudentsEnthusiastic Tutor for Middle and High S...
4.8 4.8 (82 lesson ratings) (82)

So when the problem is saying that 3 out of every 8 students prefer strawberry to vanilla, it means that 3/8 of all students like strawberry better. There are 160 students in total, so that means 3/8 * 160 or 60 students like strawberry.

Ralph L. | Algebra I, II, Visual Basic, Beginning C++ tutorAlgebra I, II, Visual Basic, Beginning C...
4.0 4.0 (1 lesson ratings) (1)

3/8 * (160) = 480/8 = 60