document.write( "Question 1081797: In Tom’s pocket, there are four times as many quarters as nickels but there are not enough nickels to make change for a quarter. 15 more than the square of the number of nickels is equal to 8 times the number of nickels. If there are no other coins in Tom’s pocket, what is the total value of these coins. \n" ); document.write( "
Algebra.Com's Answer #695841 by jorel1380(3719)![]() ![]() You can put this solution on YOUR website! Let n be the number of nickels in Tom's pocket. Then: \n" ); document.write( "n²+15=8n \n" ); document.write( "n²-8n+15=0 \n" ); document.write( "(n-5)(n-3)=0 \n" ); document.write( "n=5 or 3 \n" ); document.write( "We know there's not enough nickels to make a quarter, so there must be 3 nickels. \n" ); document.write( "There are 4 times as many quarters as nickels, so there are 12 quarters--bringing the change up to a total of $3.15 ☺☺☺☺ \n" ); document.write( " |