document.write( "Question 80696: David opened his piggy bank and found 3 pennies, 5 nickels, and $2.95 in dimes and quarters. Find the greatest number of quarters he could have if he had an odd number of dimes. \n" ); document.write( "

Algebra.Com's Answer #57864 by stanbon(75887) $\"\"$ $\"About$

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David opened his piggy bank and found 3 pennies, 5 nickels, and $2.95 in dimes and quarters. Find the greatest number of quarters he could have if he had an odd number of dimes.
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\n" ); document.write( "Let number of dimes be \"x\"; Value of these is 10x cents
\n" ); document.write( "Let number of quarters be \"y\"; Value of these is 25y
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\n" ); document.write( "EQUATION:
\n" ); document.write( "value + value = 295 cents
\n" ); document.write( "10x+25y=295
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\n" ); document.write( "Make a list of odd multiples of 10: 10,30,50,70...etc
\n" ); document.write( "Make a list of multiples of 25: 25,50,75,100...etc
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\n" ); document.write( "Find the largest quarter multiple that when added to an odd multiple of 10
\n" ); document.write( "gives you 295: 295-10=285 no good
\n" ); document.write( "295-30=265 no good
\n" ); document.write( "295-50=245 no good
\n" ); document.write( "295-70=225 Ah, good because 9*25=295
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\n" ); document.write( "so, largest number of quarters would be 9
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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