document.write( "Question 1171403: Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. How many quarters does Whitney have?\r
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Algebra.Com's Answer #796376 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A quick mental solution method, if formal algebra is not required.... \n" ); document.write( "(1) Imagine 20 coins that are all dimes; the value would be $2.00, which is $1.35 less than the actual total. \n" ); document.write( "(2) Now imagine switching dimes for quarters, one at a time. Each time, the number of coins stays the same, while the value of the coins increases by 25-10 = 15 cents. \n" ); document.write( "(3) The number of times you need to do that to make up the additional $1.35 (135 cents) is 135/15 = 9. \n" ); document.write( "(4) Therefore, 9 of the coins are quarters. \n" ); document.write( "ANSWER: 9 quarters (and 11 dimes) \n" ); document.write( "CHECK: 9(25)+11(10) = 225+110 = 335 \n" ); document.write( " \n" ); document.write( " |