During a Checkers Game There Are 16 Pieces Left The Ratio of Black to Red Pieces Are 3:5 How Many Black Pieces Are On The Board?

Question

Explain The Answer Please I Am In The Sixth Grade

Answer 1

Hello Sarah, with an h,

 

Well, it says that the ratio is 3 black for every 5 red. And, there is a total of 16 pieces left.  

What we need to do is find equivalent fractions.  Equivalent fractions are fractions that represent the same portion.  For, example 2/5 , 4/10,

6/15, 4/20 are equivalent to each other.  How?

 

Take for example 2/5.  If you multiply the numerator and the denominator by, let's say 3, you get 6/15.  If you the numerator and the denominator of 2/ 5 and multiply them by 2, you get 4/10.  So, in order to find an equivalent fraction you must multiply both the numerator and denominator by the same number.

 

Ok, our ratio (fraction) is 3/5. Fractions equivalent to 3/5 will be 6/10, 9/15, 12/20 and so on.  Now, remember that  3/5 means that               3 black/ 5 red.  We need to find an equivalent fraction so that when we add the red and the black will add up to 16.  This will be 6/10, that is six black and ten red.  Note that 6/10 is the same portion as 3/5, just divide by 2 to see it.

 

Well, Sarah that's your answer six black and ten red. Thanks for posting your question, and I hope this helps you out.

 

D.Y. T.

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