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?
Question asked on Brainly: https://brainly.com/question/16824639
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One bagel costs 155 cents.
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This question is solved using a system of equations.
I am going to say that:
x is the cost of a toast.
y is the cost of a bagel.
z is the cost of a muffin.
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Two pieces of toast and a bagel costs $3.15.
This means that
Since we want to find the cost of a bagel, we write x as a function of y, so:
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A bagel and a muffin costs $3.30.
This means that:
Since we want y:
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Piece of toast, two bagels and three muffins cost $9.15.
This means that:
We have x and z as functions of y, so:
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In cents, one bagel costs 100*1.55 = 155.