document.write( "Question 367750: As a restaurant owner there are many decisions that you need to make on a daily basis, such as where to keep inventory levels. You wish to replenish your stock of dishes by purchasing 250 sets for your restaurant. You have two dish design from which to choose. One design costs $20 per set and the other $45 per set. If you only have $6,800 to spend, how many of each design should you order? I need help setting this up. \n" ); document.write( "

Algebra.Com's Answer #262132 by stanbon(75887) $\"\"$ $\"About$

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You wish to replenish your stock of dishes by purchasing 250 sets for your restaurant. You have two dish design from which to choose. One design costs $20 per set and the other $45 per set. If you only have $6,800 to spend, how many of each design should you order?
\n" ); document.write( "Equations:
\n" ); document.write( "a + b = 250
\n" ); document.write( "20a + 45b = 6800
\n" ); document.write( "----
\n" ); document.write( "Multiply thru 1st by 20 to get:
\n" ); document.write( "20a + 20b = 20*250
\n" ); document.write( "Subtract that from the 2nd eq.
\n" ); document.write( "25b = 1800
\n" ); document.write( "b = 72 (# of sets of $20 dishes to purchase)
\n" ); document.write( "a = 250-72 = 178 (# of sets of $45 dishes to purchase)
\n" ); document.write( "===================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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