I need help. This month, Judy has checked out 20 books from the library, and Four-fifths of them were biographies. Which expression can be used to determine the number of biographies Judy checked out? a.20 divided by four-fifths b. 20 times four-fifths c. Four-fifths divided by 20 d. Five-fourths divided by 20

Respuesta :

Answer:

20*(4/5)

Step-by-step explanation:

The expression you will use is :

20*(4/5) = 80/5 = 16

16 is 80 percent of 20 wich equals 4 fifths that's true

This is the full question:

This month, Judy has checked out 20 books from the library, and 4/5 of them were biographies. Which expression can be used to betermin the number of brographies Judy checked out?

Choices are here:

A. 20 divide by 4/5

B. 20 x 4/5

C. 4/5 divide by 20

D. 5/4 divide by 20

The answer is: the choice B. 20 × 4/5

Explanation:

You are told that the total number of books checked is 20 and that from them the fraction 4/5 were biographies.

A fraction is a ratio, and that ratio is equal to the ratio of biographies to the total number of book.  That is what is called a proportion.

You can write the proportion in this way:

 4            number of biographies checked

----- =   -------------------------------------------------

 5             total number of books checked

The number of biographies checked is the unknown. Call it x

The total number of books checked is 20.

So the proportion is:

4           x

---- =   ------

5          20

And applying equallity properties that drives to:

x = 20 * 4/5.

Which is the answer to the question.