document.write( "Question 1133486: it takes a florist 3 h 15 min to make 3 small centerpieces and 3 large centerpieces. it takes 6 h 20 min to make 4 small centerpieces and 7 large centerpieces. how long does it take to make each small centerpiece and each large centerpiece? write and solve a system of equations to find your answer. \n" ); document.write( "
Algebra.Com's Answer #750720 by ikleyn(52832)\"\" \"About 
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document.write( "Let x be the time for the florist to make 1 small centerpiece (in minutes), and\r\n" );
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document.write( "    y be the time for the florist to make 1 small centerpiece (in minutes).\r\n" );
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document.write( "Then from the condition you have this system of 2 equations in 2 unknowns.\r\n" );
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document.write( "    3x + 3y = 195   minutes   (1)    ( 105 minutes = 3 hours and 15 minutes )\r\n" );
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document.write( "    4x + 7y = 380   minutes   (2)    ( 380 minutes = 6 hours and 20 minutes )\r\n" );
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document.write( "Solve the system by the Elimination method in two steps.\r\n" );
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document.write( "STEP 1.   Divide the equation (1) (1) by 3 (both sides). Keep equation (2) as is. You will get the new system\r\n" );
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document.write( "     x +  y =  65             (3)   \r\n" );
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document.write( "    4x + 7y = 380             (4)      (eq4) is the same as eq(2) )  \r\n" );
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document.write( "STEP 2.  Multiply equation (1) by 4 (both sides). Then Subtract it from equation (4). You will get\r\n" );
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document.write( "     7y - 4y = 380 - 65*4\r\n" );
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document.write( "     3y      = 120           ==============>  y = 120/3 = 40 minutes.\r\n" );
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document.write( "Then from equation (1)  x = 65 - y = 65 - 40 = 25 minutes.\r\n" );
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document.write( "ANSWER.  25 minutes for small centerpiece  and  40 minutes for large centerpiece.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems on systems of 2 equations in 2 unknowns see my lessons\r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns by the Substitution method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns by the Elimination method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns using determinant \r
\n" ); document.write( "\n" ); document.write( "    - Geometric interpretation of the linear system of two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "    - Useful tricks when solving systems of 2 equations in 2 unknowns by the Substitution method \r
\n" ); document.write( "\n" ); document.write( "    - Solving word problems using linear systems of two equations in two unknowns \r
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\n" ); document.write( "\n" ); document.write( "    - Oranges and grapefruits \r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on tickets \r
\n" ); document.write( "\n" ); document.write( "    - Three methods for solving standard (typical) problems on tickets\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on shares \r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on investment\r
\n" ); document.write( "\n" ); document.write( "    - Two mechanics work on a car \r
\n" ); document.write( "\n" ); document.write( "    - The Robinson family and the Sanders family each used their sprinklers last summer\r
\n" ); document.write( "\n" ); document.write( "    - Roses and vilolets \r
\n" ); document.write( "\n" ); document.write( "    - Counting calories and grams of fat in combined food\r
\n" ); document.write( "\n" ); document.write( "    - A theater group made appearances in two cities\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO algebreze and solve this problem on 2 equations in 2 unknowns \r
\n" ); document.write( "\n" ); document.write( "    - One unusual problem to solve using system of two equations \r
\n" ); document.write( "\n" ); document.write( "    - Solving mentally word problems on two equations in two unknowns \r
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\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on solving systems of two linear equations in two unknowns\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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