3. mrs. galicia bought 3 tacos and 2 sodas and paid $9.75. the next day she went back and bought 5 tacos and 1 soda and paid $12.75. (a) write and solve a system of equations that model the problem. show all your work. (b) how much was one soda? (c) how much was one taco?

(a) System of equations: and

(b) One soda costs

(c) One taco costs

SOLUTION:

Given, Mrs. Galicia bought 3 tacos and 2 sodas and paid .  

The next day she went back and bought 5 tacos and 1 soda and paid .  

Let the cost of 1 tacos be m, and cost of 1 soda be n.

Now, We have to find  

(a) System of equations:  

3 tacos and 2 sodas cost

5 tacos and 1 soda cost

System of equations are  

Now,

So, substitute n in (1)

(b) cost of one soda

(c) cost of one taco

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

b

step-by-step explanation: