Answered

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At a bakery, one customer pays $5.67 for 3 bagels and 4 muffins. Another customer pays $6.70 for 5 bagels and 3 muffins. Which system of equations can be used to determine the cost x (in dollars) of one bagel and the cost y (in dollars) of one muffin at the bakery?

Sagot :

The bagel costs $0.89 and a muffin costs $0.75

How to create a system of equations?

Let B = Bagel cost

Let M = Muffin cost

Thus, from the given question parameters, the system of equations that can be used to determine the cost x is;

3B + 4M = 5.67     ------(1)

5B + 3M = 6.70    ------(2)

Multiply the 1st equation by 3 and the 2nd equation by (-4) to get;

9B +12M =  17.01     ------(3)

-20B - 12M = -26.80   ------(3)

Add equations 3 and 4 together to get;

-11B = -9.79

B = 0.89  

Plug this value for B in to the 1st equation and solve for M to get;

3(0.89) + 4M = 5.67

2.67 + 4M = 5.67

4M = 3.00

M = 0.75

Thus, a bagel costs $0.89 and a muffin costs $0.75

Read more about System of Equations at; https://brainly.com/question/13729904

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