document.write( "Question 40010: A jar of dimes and quarters contained $10.95 There were at 93 coins in the jar. How many dimes?
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Algebra.Com's Answer #25476 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Let d be the number of dimes and q will be quarters. \n" ); document.write( "Their values will be 10d and 25q respectively. So we have \n" ); document.write( "d + q = 93 \n" ); document.write( "10d + 25q = 1095 (talking about cents now) \n" ); document.write( "We can do a linear sum of these by multiplying the first equation by 25 and subtracting...so we get \n" ); document.write( "10d + 25q = 1095 \n" ); document.write( "-(25d + 25q = 2325) \n" ); document.write( "and we have \n" ); document.write( "-15d = -1230 \n" ); document.write( "d = 82 \n" ); document.write( "Thus there are 82 dimes and 11 quarters. \n" ); document.write( " |