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 Algebra problem

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At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $3.15. Gary orders a bagel and a muffin, which comes out to $3.50. Larry orders a piece of toast, two bagels, and three muffins, which comes out to $8.15. How many cents does one bagel cost?

 Jun 22, 2024

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 #1
avatar+129895 
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2x + 1y         =       3.15      →       x  =  3.15 - y

        1y + 1z =       3.50     →        z  =  3.50 - y

1x + 2y + 3z =       8.15

 

1(3.15 -y)  + 2y + 3(3.50 - y)  = 8.15

 

3.15 - y + 2y + 10.50 - 3y =  8.15

 

-2y  =  8.15 - 3.15 - 10.50

 

-2y = - 5.50

 

y = 5.50 / 2  =   2.75   =   275 cents

 

 

cool cool cool

 Jun 22, 2024

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