$5.67 for 3 bagels and 4 muffins. $6.70 for 5 bagels and 3 muffins. Use a system of equations to find the cost of one bagel and one muffin

Question

how much money per bagel and per muffin

Answer 1

Let B = Bagel cost

Let M = Muffin cost

 

3*B + 4*M = 5.67

5*B + 3*M = 6.70

 

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

 

  9*B +12*M =  17.01

-20*B -12*M = -26.80  

 

Add these 2 equations together 

 

-11*B = -9.79

B = 0.89  

 

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

 

3*(0.89) + 4*M = 5.67

2.67 + 4*M = 5.67

4*M = 3.00

M = 0.75

 

So a bagel costs $0.89 and a muffin costs $0.75