Question 1133486
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<pre>
Let x be the time for the florist to make 1 small centerpiece (in minutes), and
    
    y be the time for the florist to make 1 small centerpiece (in minutes).


Then from the condition you have this system of 2 equations in 2 unknowns.


    3x + 3y = 195   minutes   (1)    ( 105 minutes = 3 hours and 15 minutes )

    4x + 7y = 380   minutes   (2)    ( 380 minutes = 6 hours and 20 minutes )


Solve the system by the Elimination method in two steps.


<U>STEP 1</U>.   Divide the equation (1) (1) by 3 (both sides). Keep equation (2) as is. You will get the new system


     x +  y =  65             (3)   

    4x + 7y = 380             (4)      (eq4) is the same as eq(2) )  


<U>STEP 2</U>.  Multiply equation (1) by 4 (both sides). Then Subtract it from equation (4). You will get


     7y - 4y = 380 - 65*4

     3y      = 120           ==============>  y = 120/3 = 40 minutes.


Then from equation (1)  x = 65 - y = 65 - 40 = 25 minutes.


<U>ANSWER</U>.  25 minutes for small centerpiece  and  40 minutes for large centerpiece.
</pre>

Solved.


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To see many other similar solved problems on systems of 2 equations in 2 unknowns see my lessons

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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-using-det.lesson>Solution of the linear system of two equations in two unknowns using determinant</A> 

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Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic "<U>Systems of two linear equations in two unknowns</U>".



Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed.