document.write( "Question 1089145: A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85. How many quarters are in the piggy bank? In your final answer, include all necessary calculations.
\n" ); document.write( "Let x be dimes, and y be quarters. Then:
\n" ); document.write( "x + y =36
\n" ); document.write( ".1x + .25y = 5.86
\n" ); document.write( "I can not figure what to do next What ever I tried diies not work out \n" ); document.write( "

Algebra.Com's Answer #703475 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85. How many quarters are in the piggy bank?
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document.write( "   D +     Q =  36,    (1)      (D = # of dimes; Q = # of quarters)\r\n" );
document.write( "0.1D + 0.25Q = 5.85.   (2)\r\n" );
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document.write( "From equation (1), express D = 36 - Q and substitute it into equation (2). You will get\r\n" );
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document.write( "0.1*(36-Q) + 0.25Q = 5.85.\r\n" );
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document.write( "Thus you got a single equation for single unknown Q. Simplify and solve for Q:\r\n" );
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document.write( "3.6 - 0.1Q + 0.25Q = 5.85,\r\n" );
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document.write( "0.15Q = 5.85 - 3.6,\r\n" );
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document.write( "0.15Q = 2.25  ====>  Q =  = 15.\r\n" );
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document.write( "Answer.  15 quarters and 36 - 15 = 21 dime.\r\n" );
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document.write( "Check.   15*25 + 21*10 = 585 cents.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "There is entire bunch of lessons on coin problems\r
\n" ); document.write( "\n" ); document.write( "    - Coin problems\r
\n" ); document.write( "\n" ); document.write( "    - More Coin problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving coin problems without using equations\r
\n" ); document.write( "\n" ); document.write( "    - Kevin and Randy Muise have a jar containing coins\r
\n" ); document.write( "\n" ); document.write( "    - Typical coin problems from the archive\r
\n" ); document.write( "\n" ); document.write( "    - More complicated coin problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving coin problems mentally by grouping without using equations\r
\n" ); document.write( "\n" ); document.write( "    - Santa Claus helps solving coin problem\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on coin word problems\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "You will find there the lessons for all levels - from introductory to advanced,
\n" ); document.write( "and for all methods used - from one equation to two equations and even without equations. \r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution of coin problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Coin problems\".\r
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