document.write( "Question 1157579: Roscoe and Conrad were counting money in their piggy banks. They only had quarters and dimes. They had a total of 58 coins. The value of the coins was $9.85. Find the number of quarters and dimes the boys had.
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Algebra.Com's Answer #780459 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "An informal solution using logical reasoning and a bit of mental arithmetic.... \n" ); document.write( "(1) 58 coins all dimes would have a value of $5.80. The actual value is $9.85-$5.80 = $4.05 more. \n" ); document.write( "(2) Exchanging a dime for a quarter keeps the number of coins at 58 and increases the total value by 15 cents. \n" ); document.write( "(3) The number of dimes we need to exchange for quarters to make the additional $4.05 is 405/15 = 27. \n" ); document.write( "ANSWER: \n" ); document.write( "27 quarters \n" ); document.write( "58-27 = 31 dimes \n" ); document.write( "CHECK: \n" ); document.write( "27(25)+31(10) = 675+310 = 985 \n" ); document.write( " \n" ); document.write( " |