document.write( "Question 252638: Sharu has $2.35 in nickels and dimes. If he has a total of thirty-two coins, how many of each coin does he have?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #184658 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! This is a classic money problem. There are 2 equations - first the value equation and second the number equation. Here they are: \n" ); document.write( "(i) 5n + 10d = 235 \n" ); document.write( "(ii) n + d = 32 \n" ); document.write( "Multiply the second equation by -5. \n" ); document.write( "(i) 5n + 10d = 235 \n" ); document.write( "(iii)-5n -5d = -160 \n" ); document.write( "Add (i) and (iii) together. We get \n" ); document.write( "5d = 75. \n" ); document.write( "Solve for d. \n" ); document.write( "d = 15. \n" ); document.write( "Now find n. \n" ); document.write( "n = 17. \n" ); document.write( " \n" ); document.write( " |