At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. How much does a taco cost?

Respuesta :

Answer:

The price for a small glass of milk is $0.95, and the price for a breakfast taco is $1.15.

Step-by-step explanation:

Let the price of a taco be x and the price for a small glass of milk be y.

[tex]x + y = 2.1[/tex]

[tex]2x + 3y = 5.15[/tex]

Multiply the first equation by 2:

[tex]2x + 2y = 4.2[/tex]

Subtract the new third equation from the second equation:

[tex](2x + 3y) - (2x + 2y) = 5.15 - 4.2[/tex]

[tex]y = 0.95[/tex]

Hence, the price for a small glass of milk is $0.95.

Substitute y into the first equation.

[tex]x + 0.95 = 2.1[/tex]

[tex]x = 1.15[/tex]

Therefore, the price for a breakfast taco is $1.15.

Hope this helped!

Answer:

2t + 3m = 5.15

Step-by-step explanation:

  Since the problem tells us that the cost of a breakfast taco and a small glass of milk is $2.10, we can write the equation

 

t + m = 2.10

 

Since the cost of two tacos and 3 small glasses of milk is $5.15, we can write the equation

 

2t + 3m = 5.15

 

Hope this helps.  :)