document.write( "Question 50238This question is from textbook Intermediate algebra
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document.write( ": I'm working on this coin problem and I can't seem to get the formula right for the equation. Here is what the problem gives as information:\r
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document.write( "A box currently contains 44 coins, consisting of pennies and dimes and quarters. the number of pennies is equal to the number of dimes, and the total value is $4.37. How may of each denominatin of coin does the box contain?\r
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document.write( "They have a table:\r
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document.write( "# of coins|deommination | value
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document.write( " x | .01 | .01x
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document.write( " x | |
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document.write( " | 0.25 |
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document.write( " |4.37 <-total\r
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document.write( "How do I formulate the equation from this world problem? (one i get the equation i can solve it but getting the equation is tricky).\r
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document.write( "thanks \n" );
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Algebra.Com's Answer #33359 by stanbon(75887) ![]() You can put this solution on YOUR website! A box currently contains 44 coins, consisting of pennies and dimes and quarters. the number of pennies is equal to the number of dimes, and the total value is $4.37. How may of each denominatin of coin does the box contain? \n" ); document.write( "------------------- \n" ); document.write( "Let the number of pennies be \"x\". \n" ); document.write( "The value of those pennies is x cents. \n" ); document.write( "the number of dimes is also \"x\". \n" ); document.write( "The value of those dimes is 10x cents \n" ); document.write( "The number of quarters is \"44-x-x\"=44-2x \n" ); document.write( "The value of those quarters is 25(44-2x)=1100-50x cents \n" ); document.write( "EQUATION: \n" ); document.write( "value + value + value = 437 cents \n" ); document.write( "x + 10x + 1100-50x = 437 \n" ); document.write( "-39x = - 663 \n" ); document.write( "x=17 ( number of pennies and number of dimes) \n" ); document.write( "44-2y=44=34=10 ( number of quarters) \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |