document.write( "Question 118146: HI
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document.write( "please help me with this\r
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document.write( "A parking meter accepts only Quarters and dollars. If there are 31 coins and a value of $ 20.50 how many quarters and dollars are there.\r
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document.write( "thanks for any help coming my way \n" );
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Algebra.Com's Answer #86289 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A parking meter accepts only Quarters and dollars. If there are 31 coins and a value of $ 20.50 how many quarters and dollars are there. \n" ); document.write( ": \n" ); document.write( "let q = no. of quarters, \n" ); document.write( ": \n" ); document.write( "let d = no. of dollar coins \n" ); document.write( ": \n" ); document.write( "We can make two simple equations from the given information \n" ); document.write( "The number of coins equation (it says there are 31 coins): \n" ); document.write( "q + d = 31 \n" ); document.write( ": \n" ); document.write( "It says the value of the coins is 20.50 \n" ); document.write( ".25g + 1d = 20.50 \n" ); document.write( ": \n" ); document.write( "1d and d are the same so use elimination \n" ); document.write( " q + d = 31 \n" ); document.write( ".25q +d = 20.50 \n" ); document.write( "------------------subtracting eliminates d, find q \n" ); document.write( ".75q +0 = 10.50 \n" ); document.write( "q = 10.50/.75 \n" ); document.write( "q = 14 quarters \n" ); document.write( ": \n" ); document.write( "That would leave us: \n" ); document.write( "31 - 14 = 17 dollar coins \n" ); document.write( ": \n" ); document.write( "Check that in our value equation \n" ); document.write( ".25(14) + 1(17) = \n" ); document.write( " 3.50 + 17 = 20.50, confirms our solutions \n" ); document.write( ": \n" ); document.write( "This this help? Did it make sense to you? \n" ); document.write( " |