document.write( "Question 932150: Why is the answer to this question equal 25q + 10q + 30 + 5q + 10 = 200:
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document.write( "A collection of coins consists of nickels, dimes, and quarters. There are 3 more dimes than quarters and 2 more nickels than quarters. All of the coins together are worth $2.00. If q represents the number of quarters, which of the following equations represents this situation? \n" );
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Algebra.Com's Answer #566005 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! x = nickels \n" ); document.write( "y = dimes \n" ); document.write( "z = quarters \n" ); document.write( "--- \n" ); document.write( "y = z + 3 \n" ); document.write( "x = z + 2 \n" ); document.write( "5x + 10y + 25z = 200 \n" ); document.write( "--- \n" ); document.write( "put the system of linear equations into standard form \n" ); document.write( "--- \n" ); document.write( "y - z = 3 \n" ); document.write( "x - z = 2 \n" ); document.write( "5x + 10y + 25z = 200 \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( "solution: \n" ); document.write( "x = nickels = 6 \n" ); document.write( "y = dimes = 7 \n" ); document.write( "z = quarters = 4 \n" ); document.write( "--- \n" ); document.write( "note: \n" ); document.write( "--- \n" ); document.write( "y = z + 3 \n" ); document.write( "x = z + 2 \n" ); document.write( "5x + 10y + 25z = 200 \n" ); document.write( "--- \n" ); document.write( "5(z + 2) + 10(z + 3) + 25z = 200 \n" ); document.write( "5z + 10 + 10z + 30 + 25z = 200 \n" ); document.write( "--- \n" ); document.write( "substitute q for z: \n" ); document.write( "--- \n" ); document.write( "5q + 10 + 10q + 30 + 25q = 200 \n" ); document.write( "--- \n" ); document.write( "rearrange: \n" ); document.write( "--- \n" ); document.write( "25q + 10q + 30 + 5q + 10 = 200 \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( "--- \n" ); document.write( " |