document.write( "Question 928673: Teacher is throwing a party for students using $136. She plans on buying 5 Pizzas and 40 Drinks.
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document.write( "Previously it cost her 22.80 for 1 Pizza and 6 Drinks.
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document.write( "What do the 2 variables represent.
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document.write( "Write a system of equations to represent the model
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document.write( "What is the cost of 1 Drink.? What is the cost of 1 Pizza? \n" );
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Algebra.Com's Answer #563803 by Hawksfan(61)![]() ![]() You can put this solution on YOUR website! Let P = # of Pizzas \n" ); document.write( "Let D = # of Drinks\r \n" ); document.write( "\n" ); document.write( "We need to write two equations with two unknowns and solve the problem. \r \n" ); document.write( "\n" ); document.write( "First equation: \r \n" ); document.write( "\n" ); document.write( "5P + 40D = 136\r \n" ); document.write( "\n" ); document.write( "Second equation :\r \n" ); document.write( "\n" ); document.write( "1P + 6D = 22.80\r \n" ); document.write( "\n" ); document.write( "Now combine the equations by putting them side by side:\r \n" ); document.write( "\n" ); document.write( "5P + 40D = 136 \n" ); document.write( "1P + 6D = 22.80 we need to get the additive opposite of P or D \n" ); document.write( " lets multiply the second equation by -5 \r \n" ); document.write( "\n" ); document.write( "5P + 40D =136 \n" ); document.write( "-5P+ -30D = -114 now add the two equations\r \n" ); document.write( "\n" ); document.write( " 10D = 22 \n" ); document.write( " D = 2.2 or 2 drinks \r \n" ); document.write( "\n" ); document.write( "1P + 6D = 22.80\r \n" ); document.write( "\n" ); document.write( "P + 6(2.2) = 22.80 \n" ); document.write( "P +13.2 = 22.8 \n" ); document.write( "P = 9.6 pizzas or 9 pizzas \r \n" ); document.write( "\n" ); document.write( " you can also solve this by substitution \n" ); document.write( " |