At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $/$3.15$. Merry orders a bagel and a muffin, which comes out to $/$3.30$. Meery orders a piece of toast, two bagels, and three muffins, which comes out to $/$9.15$. How many cents does one bagel cost?

Question

Mathematics

Alfonso Pope

18 September, 03:36

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $/$3.15$. Merry orders a bagel and a muffin, which comes out to $/$3.30$. Meery orders a piece of toast, two bagels, and three muffins, which comes out to $/$9.15$. How many cents does one bagel cost?

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Answers (1)

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Ayaan Woodard · Answer 1

A bagel costs $1.55, so that would be 155 cents

Step-by-step explanation:

Given Info:

x = cost of a piece of toast

y = cost of a bagel

z = cost of a muffin

2x + y = 3.15

y + z = 3.30

x + 2y + 3z = 9.15

Calculations:

2x + y - (y + z) = 3.15 - 3.30

2x - z = - 0.15

-z = - 0.15-2x

z = 0.15+2x

y = 3.15 - 2x

x + 2y + 3z = 9.15

x + 2 (3.15 - 2x) + 3 (0.15 + 2x) = 9.15

x + 6.3 - 4x + 0.45 + 6x = 9.15

3x + 6.75 = 9.15

3x = 2.4

x = 0.80 cents per piece of toast

2x + y = 3.15

2 (0.80) + y = 3.15

1.60 + y = 3.15

y = 1.55

So a bagel costs $1.55