document.write( "Question 1085923: Bob has saved quarters, dimes and pennies. He has 7 times as many quarters as dimes, and 6 times as many pennies as quarters. If he has a total of $29.51, how many pennies has he saved? \n" ); document.write( "

Algebra.Com's Answer #700018 by math_helper(2461) $\"\"$ $\"About$

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q = number of quarters
\n" ); document.write( "d = number of dimes
\n" ); document.write( "p = number of pennies
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document.write( "q = 7d                  (1)\r\n" );
document.write( "p = 6q = 6(7d) = 42d    (2)\r\n" );
document.write( "25q + 10d + p =  2951   (3)  (in units of cents)\r\n" );
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\n" ); document.write( "\n" ); document.write( "Using (1) and (2), we can express (3) in terms of 'd' only:\r
\n" ); document.write( "\n" ); document.write( "25(7d) + 10d + 42d = 2951
\n" ); document.write( "175d + 10d + 42d = 2951
\n" ); document.write( "227d = 2951
\n" ); document.write( "d = 2951/227 = 13 —> q=7*13 = 91 —> p= 6*91 = 546
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\n" ); document.write( "Ans: Bob has saved 546 pennies.
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\n" ); document.write( "Check: 546 + 10(13) + 91(25) = 546 + 130 + 2275 = 2951 (= $29.51 , so its good)
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