document.write( "Question 928074: 1.) A piggy bank contains only quarters and dimes. There are 99 coins with a total value of of $13.65. Determine the number of quarters and dimes.\r
\n" );
document.write( "\n" );
document.write( "2.) The bulk barn sells orange flavoured gummy bears at $7.29/kg and apple flavoured gummy bears at $7.59/kg. How much of each type must be mixed to obtain a mass of 25kg that sells at $7.39/kg? Give your answer correct to 2 decimal points, if necessary. \n" );
document.write( "
Algebra.Com's Answer #563593 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A piggy bank contains only quarters and dimes. \n" ); document.write( "let q = no. of quarters \n" ); document.write( "let d = no. of dimes \n" ); document.write( ": \n" ); document.write( " There are 99 coins \n" ); document.write( "q + d = 99 \n" ); document.write( ": \n" ); document.write( " with a total value of of $13.65. \n" ); document.write( ".25q + .10d = 13.65 \n" ); document.write( ": \n" ); document.write( " Determine the number of quarters and dimes. \n" ); document.write( "We can use elimination here. multiply the 2nd equation by 10, subtract the 1st equation \n" ); document.write( "2.5q + d = 136.5 \n" ); document.write( " q + d = 99 \n" ); document.write( "-----------------Subtraction eliminates d, find q \n" ); document.write( "1.5q = 37.5 \n" ); document.write( "q = 37.5/1.5 \n" ); document.write( "q = 25 quarters \n" ); document.write( "I'll let you find the no. of dimes, check your solutions for q & d in the $$ equation \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "2.) The bulk barn sells orange flavoured gummy bears at $7.29/kg and apple flavoured gummy bears at $7.59/kg. \n" ); document.write( " How much of each type must be mixed to obtain a mass of 25kg that sells at $7.39/kg? Give your answer correct to 2 decimal points, if necessary. \n" ); document.write( ": \n" ); document.write( "let x = amt of apple g.b required \n" ); document.write( "the results is to be 25 kg, therefore \n" ); document.write( "(25-x) = amt of orange g.b \n" ); document.write( ": \n" ); document.write( "A typical mixture equation \n" ); document.write( "7.59x + 7.29(25-x) = 7.39(25) \n" ); document.write( "You should be able to solve this yourself now. \n" ); document.write( "Let me know if you have difficulty. ankor@att.net \n" ); document.write( " |