Question

MATH SMARTIES I WILL GIVE BRAINLIEST PLEASE HELP AND PLEASE GIVE AN EXPLANATION!!!!!!!!!!!!!!

Answer 1

Answer:

30 books on the shelf are Fiction.

Step-by-step explanation:

Hey!

There are 50 books on a shelf.

• 1/5 of the books are Science Fiction.
• 3/10 are Non-Fiction.
• The Rest are Fiction.

how many books on the shelf are Fiction?

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MAKE AN EQUATION!

We know that there are three Categories: Fiction, Science Fiction, and Non Fiction.

Total- 50

⇒ 50 =

1/5 of 50 are SF

⇒ 50 = (1/5)(50)

3/10 of 50 are NF

⇒ 50 = (1/5)(50) + (3/10)(50) + x

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SOLVE THE EQUATION!

(1/5)(50) + (3/10)(50) + x = 50

To Isolate X-

  -Multiply and remove the parentheses..

⇒ 50/10 + 150/10 + x = 50

   -Simplify.

⇒ 5 + 15 + x = 50

   -Add Like Terms

⇒ 20 + x = 50

     -Subtract 20 from both sides.

⇒ 20 + x - 20 = 50 - 20

      -Simplify Right Hand Side.

⇒ x =  30

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So, 30 books on the shelf are Fiction.

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Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x