document.write( "Question 923404: A wheel shop sells bicycles and go carts. The bike has only 1 seat and the go cart has only 1 seat. There are a total of 21 seats and 51 wheels in that room. How many bicycles and go carts are in that room? \n" ); document.write( "
Algebra.Com's Answer #560101 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! b + c = 21 \n" ); document.write( "2b + 4c = 51 \n" ); document.write( "--- \n" ); document.write( "put the system of linear equations into standard form \n" ); document.write( "--- \n" ); document.write( "b + c = 21 \n" ); document.write( "2b + 4c = 51 \n" ); document.write( "--- \n" ); document.write( "x + y = 21 \n" ); document.write( "2x + 4y = 51 \n" ); document.write( "--- \n" ); document.write( "copy and paste the above standard form linear equations in to this solver: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "x = number of bikes = 16.5 \n" ); document.write( "y = number of carts = 4.5 \n" ); document.write( "NOTE: this is a trick question, it's impossible to have fractional bikes or carts \n" ); document.write( "--- \n" ); document.write( "solve by substitution: \n" ); document.write( "--- \n" ); document.write( "b + c = 21 \n" ); document.write( "2b + 4c = 51 \n" ); document.write( "--- \n" ); document.write( "c = 21 - b \n" ); document.write( "2b + 4(21 - b) = 51 \n" ); document.write( "2b + 84 - 4b = 51 \n" ); document.write( "2b = 33 \n" ); document.write( "b = 16.5 bikes \n" ); document.write( "c = 21 - 16.5 = 4.5 carts \n" ); document.write( "---\r \n" ); document.write( "\n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |