how to solve geometry word problems

Tutors, sign in to answer this question.

Michael F. | Mathematics TutorMathematics Tutor

Eight times the reciprocal of a number equals 2 times the reciprocal of 4. What is the number?

8×1/r=8/r=2×1/4=2/4=1/2

8/r=1/2

1/r=1/16

r=16

To begin this problem, you have to know what the reciprocal of a number means. The reciprocal of a number means one over said number. So the reciprocal of 4 would be 1/4 or .25.

So 2*.25=.5

From the beginning portion of the word problem, we know that 8*(1/x) equals .5.

Divide both sides by 8 and you get (1/x)=.0625 which is 1/16. So x equals 16.

To make sure we are right, we can plug x back into the equation.

8*(1/16)=2*(1/4)

.5=.5 So we are correct.

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Karin S.

Reasonable and Reliable Math Tutor

$15 per 15 min

View Profile >

Lewis H.

Master Tutor for Test Prep (SAT/ACT), Physics with Customized Lessons

$30 per 15 min

View Profile >

Bradley C.

Experienced Math, Science, and Programming Tutor

$11.25 per 15 min

View Profile >