document.write( "Question 104612: I am having a hard time with this problem. Can you help me?\r
\n" ); document.write( "\n" ); document.write( "Mr. Bedell has 107 fiction books in his classrooom. Mr Bedell's fiction collection is 27 more than a third of his non-fiction collection. How many non-fiction books does Mr. Bedell have? Thank you..
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Algebra.Com's Answer #76129 by doukungfoo(195)\"\" \"About 
You can put this solution on YOUR website!
Ok to find out how many non-ficiton books Mr. Bedell has we have to use the given information to write an equation.
\n" ); document.write( "Lets start by calling the non-fiction books x. This will be the variable in our equation that we will solve for.
\n" ); document.write( "non-ficition books = x
\n" ); document.write( "Now lets look at what we are given
\n" ); document.write( "Given: Mr. Bedell's fiction collection is 27 more than a third of his non-ficiton collection.
\n" ); document.write( "Ok \"27 more\" is +27
\n" ); document.write( "and \"a third of his non-fiction collection\" is \"%281%2F3%29%28x%29\" which is the same as \"x%2F3\"
\n" ); document.write( "Put these two together and we have:
\n" ); document.write( "\"%28x%2F3%29%2B27\"
\n" ); document.write( "Now we are also told that Mr. Bedell has 107 fiction books in his classroom.
\n" ); document.write( "so this means that:
\n" ); document.write( "\"%28x%2F3%29%2B27=107\"
\n" ); document.write( "Now we have an equation that we can solve.
\n" ); document.write( "\"%28x%2F3%29%2B27=107\"
\n" ); document.write( "first subtract 27 from both sides of the equal sign
\n" ); document.write( "\"%28x%2F3%29%2B27-27=107-27\"
\n" ); document.write( "the 27's on the left side cancel out leaving this
\n" ); document.write( "\"%28x%2F3%29=107-27\"
\n" ); document.write( "\"%28x%2F3%29=80\"
\n" ); document.write( "now to solve for x multiply both sides by 3
\n" ); document.write( "\"3%2A%28x%2F3%29=80%2A3\"
\n" ); document.write( "\"3x%2F3=240\"
\n" ); document.write( "\"x+=+240\"
\n" ); document.write( "Answer: Mr. Bedell has 240 non-fiction books
\n" ); document.write( "Check by replacing x in the original equation with 240
\n" ); document.write( "\"%28x%2F3%29%2B27=107\"
\n" ); document.write( "\"%28240%2F3%29%2B27=107\"
\n" ); document.write( "\"80%2B27=107\"
\n" ); document.write( "\"107=107\"\r
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