Ask Question
9 June, 02:08

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?

+4
Answers (1)
  1. 9 June, 05:06
    0
    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
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “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 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers