Jenny withdrew all her money from a bank. after giving 10% to her sister, she spend 1/3 of what was left on a book and then gave remaining $72 to a animal shelter. how much did Jenny's sister get

Tutors, sign in to answer this question.

First you need to write a formula.

Jenny took all hr money out of the bank so that is an unknown - call it X

10% to her sister is 10% of X = 0.10 X

1/3 to buy a book is 33% of X = 0.33 X or more exactly X/3

$72 is all that was left and went to the animal shelter

money in the bank - money to sister - money for book = $72 to the shelter

So: X - 0.1 X - X/3 = $72

Solve the formula for X and calculate what it is.

After that you can find what 10% of it is.

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

X - original amount of money

0.90 X left after giving 0.10 to her sister.

1/3 ( 0.90X ) +72 =0.90 X

2/3 ( 0.90X ) = 72

X = 72/ 0.60 = 120

I use a 5-step process when working with word problems: (1) read and understand the problem; (2) translate the words into mathematical equations and expressions; (3) check and make sure that I understand what I am solving for; (4) solve the problem; and (5) check to see if the answer makes sense If not, redo all the steps.

x (amount of money that Jenny withdrew from the bank)

0.10x (amount Jenny gave to her sister)

0.90x (amount Jenny kept after giving 10% to her sister)

(0.90x)*(1/3) (amount Jenny spend on a book)

72=(0.90x)*(2/3) (amount Jenny gave to an animal shelter)

x = 72*(3/2)/(.90)

x = 120 dollars <===== ANSWER

We know that the Jenny withdrew $120 and gave 10% (or $12) to her sister. With $108 dollar Jenny kept, she spent 1/3 (or $36) on a book, which left her with $72 to give an animal shelter.

Since we obtain $72, our answer makes sense.

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.