Question

I have a different number of kids & can't seem ton find the correct numbers

Lee and Fred are elementary school teachers. Fred works for a charter school in Pacific Palisades, California, where class size reduction is a goal for 2019. Lee works for a noncharter school where funds do not allow for class size reduction policies. Lee’s fifth-grade class has 1.1 times as many students as Fred’s.

If there are a total of 42 students, how many students does Fred’s class have?

If there are a total of 42 students, how many students does Lee’s class have?

Answer 1

Fred has 20 students and Lee has 22 students

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Work Shown:

L = number of students in Lee's class

F = number of students in Fred's class

Lee has 1.1 times as many students compared to Fred

This means we have this equation

L = 1.1F

Whatever the value of F is, we multiply that by 1.1 to get the value of L

The two amounts L and F add to 42 total students

L+F = 42

1.1F + F = 42 .... replace L with 1.1F

2.1F = 42

F = 42/(2.1)

F = 20 .... Fred has 20 students

L = 1.1*F

L = 1.1*20

L = 22 .... Lee has 22 students

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Check:

L+F = 22+20 = 42

this confirms the answer