document.write( "Question 585807: Joe has a collection of nickles and dimes that is worth $7.05. If the number of dimes were doubled and the number of nickels were increased by 7, the value of the coins would be $13.30. How many dimes does he have? \n" ); document.write( "

Algebra.Com's Answer #373488 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n\"$ = number of nickels
\n" ); document.write( "Let $\"d\"$ = number of dimes
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+5n+%2B+10d+=+705+\"$ ( in cents )
\n" ); document.write( "(2) $\"+5%2A%28+n+%2B+7+%29+%2B+10%2A%282d%29+=+1330+\"$
\n" ); document.write( "--------
\n" ); document.write( "(2) $\"+5n+%2B+35+%2B+20d+=+1330+\"$
\n" ); document.write( "(2) $\"+5n+%2B+20d+=+1295+\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+5n+%2B+20d+=+1295+\"$
\n" ); document.write( "(1) $\"+-5n+-+10d+=+-705+\"$
\n" ); document.write( " $\"+10d+=+590+\"$
\n" ); document.write( " $\"+d+=+59+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+5n+%2B+10d+=+705+\"$
\n" ); document.write( "(1) $\"+5n+%2B+10%2A59+=+705+\"$
\n" ); document.write( "(1) $\"+5n+=+705+-+590+\"$
\n" ); document.write( "(1) $\"+5n+=+115+\"$
\n" ); document.write( "(1) $\"+n+=+23+\"$
\n" ); document.write( "He has 23 nickels and 59 dimes
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+5%2A%28+23+%2B+7+%29+%2B+10%2A%282%2A59%29+=+1330+\"$
\n" ); document.write( "(2) $\"+5%2A30+%2B+10%2A118+=+1330+\"$
\n" ); document.write( "(2) $\"+150+%2B+1180+=+1330+\"$
\n" ); document.write( "(2) $\"+1330+=+1330+\"$
\n" ); document.write( "OK \n" ); document.write( "

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