document.write( "Question 937378: A student has 100 coins totaling 5.00 dollars. He had no nickels. What coins did he have if 60% were the same type? \n" ); document.write( "
Algebra.Com's Answer #571139 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! look at this problem which is similar but leaves out the 60% \n" ); document.write( "http://www.algebra.com/algebra/homework/word/coins/Word_Problems_With_Coins.faq.question.348068.html\r \n" ); document.write( "\n" ); document.write( "01p+10d+25q+50h=500 \n" ); document.write( "We have to use a trial and error \n" ); document.write( "60 per cent are dimes \n" ); document.write( ".6*100=60*10=600 \n" ); document.write( "makes $6 dollars too much\r \n" ); document.write( "\n" ); document.write( ".6*100=60*05=300 but there are no nickels\r \n" ); document.write( "\n" ); document.write( ".6*100=60*01=60 pennies \n" ); document.write( "60 pennies\r \n" ); document.write( "\n" ); document.write( "now we need $4.40 using dimes and quarters and halves \r \n" ); document.write( "\n" ); document.write( "we now need 40 coins which total $4.40 \n" ); document.write( "assuming we are only dealing with two types \n" ); document.write( "which of these has integer solutions \n" ); document.write( "x+y=40, \n" ); document.write( "25x+10y=440 \n" ); document.write( "quarters and dimes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y=40 \n" ); document.write( "25x+50y=440 \n" ); document.write( "quarters and halves \n" ); document.write( "couldn't add up to 4.40\r \n" ); document.write( "\n" ); document.write( "x+y=40 \n" ); document.write( "10x+50y=440 \n" ); document.write( "dimes and halves \n" ); document.write( "this has a solution of y =1 and x=39\r \n" ); document.write( "\n" ); document.write( "another way \n" ); document.write( "now are we using dimes quarters or halves \n" ); document.write( "lets try one half which would leave 390 which would work out with 39 dimes \n" ); document.write( "so the answer is \n" ); document.write( "one half \n" ); document.write( "39 dimes \n" ); document.write( "60 pennies \n" ); document.write( " |