On Monday the office staff at your school paid 8.77 for 4 cups of coffee and 7 bagels. On Wednesday

Discussion in 'Calculator Requests' started by math_celebrity, Feb 22, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    On Monday the office staff at your school paid 8.77 for 4 cups of coffee and 7 bagels. On Wednesday they paid 15.80 for 8 cups of coffee and 14 bagels. Can you determine the cost of a bagel

    Let the number of cups of coffee be c
    Let the number of bagels be b.
    Since cost = Price * Quantity, we're given two equations:
    1. 7b + 4c = 8.77
    2. 14b + 8c = 15.80
    We have a system of equations. We can solve this 3 ways:
    1. Substitution Method
    2. Elimination Method
    3. Cramer's Rule
    No matter which method we use, we get the same answer
    • The system is inconsistent. Therefore, we have no answer.
     

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