document.write( "Question 348015: Kelly claims, \"It is possible for 46 pennies and nickels to have a total value of a dollar.\" Is she right or wrong? Give a convincing argument to justify your answer. \n" ); document.write( "

Algebra.Com's Answer #248828 by texttutoring(324) $\"\"$ $\"About$

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She is wrong. You can prove it by using some trial and error examples or by using two formulas.\r
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\n" ); document.write( "\n" ); document.write( "With trial and error:\r
\n" ); document.write( "\n" ); document.write( "15 nickels = $0.75
\n" ); document.write( "That would leave 25 pennies to equal $1.00. But that would only add up to 40 coins.\r
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\n" ); document.write( "\n" ); document.write( "14 nickels = $0.70
\n" ); document.write( "That would leave 30 pennies to equal $1.00. But that would only add up to 44 coins.\r
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\n" ); document.write( "\n" ); document.write( "13 nickels = $0.65
\n" ); document.write( "That would leave 35 pennies to equal $1.00. But that would add up to 48 coins, which is too many.\r
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\n" ); document.write( "\n" ); document.write( "Using formulas, it would look like this:\r
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\n" ); document.write( "\n" ); document.write( "Let p= number of pennies
\n" ); document.write( "Let n = number of nickels\r
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\n" ); document.write( "\n" ); document.write( "Equation 1: n+p = 46
\n" ); document.write( "Equation 2: 0.05n + 0.01p = 1.00\r
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\n" ); document.write( "\n" ); document.write( "Using substitution method or elimination method, you will find that p = 32.5. Of course, you can't cut a penny in half, so this shows that n+p cannot equal 46 coins.\r
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\n" ); document.write( "\n" ); document.write( "If you need clarification on anything, or want more details about how to solve those two equations, please let me know. \n" ); document.write( "

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