Question

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. Which pair of equations can be used to determine t, the cost of a taco, and a m, the cost of a small glass of milk?

Answer 1

To find the costs of a taco (t) and a small glass of milk (m), we use two equations: t + m = 2.10 and 2t + 3m = 5.15, forming a system to solve simultaneously for t and m.

Step-by-step explanation:

In order to determine t, the cost of a taco, and m, the cost of a small glass of milk, we can use a system of linear equations derived from the information provided about the cost of these items at a restaurant. From the first scenario, where one taco and one small glass of milk cost $2.10, we have our first equation:

Equation 1: t + m = 2.10

In the second scenario, two tacos and three small glasses of milk cost $5.15, producing our second equation:

Equation 2: 2t + 3m = 5.15

These two equations form a system that, when solved simultaneously, will provide the values for t and m, representing the costs of a taco and a small glass of milk respectively.