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

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

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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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