document.write( "Question 75294: Authur has $1.70 in dimes and quarters. There are 3 more dimes than quarters, how many dimes and quaters does Authur have? Write an equation for this problem and solve it. My son is able to soleve the problem but he can't come up with a logical equation for the problem. \n" ); document.write( "

Algebra.Com's Answer #54029 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x=number of quarters
\n" ); document.write( "Then x+3=number of dimes\r
\n" ); document.write( "\n" ); document.write( "--Lets deal in pennies to keep life simple----\r
\n" ); document.write( "\n" ); document.write( "We are told that the value of the dimes 10(x+3) plus the value of the quarters 25x equals 170 (remember, we are dealing in pennies). So, our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "10(x+3)+25x=170 get rid of parens
\n" ); document.write( "10x+30+25x=170 subtract 30 from both sides\r
\n" ); document.write( "\n" ); document.write( "10x+30-30+25x=170-30 collect like terms\r
\n" ); document.write( "\n" ); document.write( "35x=140 divide both sides by 35
\n" ); document.write( "x=4--------------------------------------------# of quarters\r
\n" ); document.write( "\n" ); document.write( "x+3=4+3=7---------------------------------------# dimes\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "25*4+7*10=170
\n" ); document.write( "100+70=170
\n" ); document.write( "170=170\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( "

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