document.write( "Question 638399: Hello Sir/Mame, I would be grateful for any assistance regarding the following question.
\n" ); document.write( "'In my pocket, I have some 20 cent coins and 50 cent coins. I have seven more 50 cent coins than 20 cent coins and have a total of $16.10. how many of each coin do I have?'
\n" ); document.write( "My teacher would like me to use algebra as a replacement of 'Trial and Error'
\n" ); document.write( "Thank you!
\n" ); document.write( "Sash Lack \n" ); document.write( "

Algebra.Com's Answer #402181 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = number of 20 cent coins
\n" ); document.write( " $\"+x+%2B+7+\"$ = number of 50 cent coins
\n" ); document.write( "given:
\n" ); document.write( " $\"+x%2A20+%2B+%28+x+%2B+7+%29%2A50+=+1610+\"$ ( in cents )
\n" ); document.write( " $\"+20x+%2B+50x+%2B+350+=+1610+\"$
\n" ); document.write( " $\"+70x+=+1610+-+350+\"$
\n" ); document.write( " $\"+70x+=+1260+\"$
\n" ); document.write( " $\"+x+=+18+\"$
\n" ); document.write( " $\"+x+%2B+7+=+25+\"$
\n" ); document.write( "You have 18 twenty cent coins and
\n" ); document.write( "25 fifty cent coins
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+x%2A20+%2B+%28+x+%2B+7+%29%2A50+=+1610+\"$
\n" ); document.write( " $\"+18%2A20+%2B+%28+18+%2B+7+%29%2A50+=+1610+\"$
\n" ); document.write( " $\"+360+%2B+1250+=+1610+\"$
\n" ); document.write( " $\"+1610+=+1610+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );