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) 3x + 2y  = 9.75,  5x + y =  12.75  is the required system of equations.

b) The cost of 1 soda =  $1. 5

c) The cost of 1 taco = $2.25

Step-by-step explanation:

Let the cost of each taco = $x

Let the cost of each soda  = $y

Now, according to the question:

3x + 2y  = $9.75

5x + y = $12.75  are the required system of equations.

Now, substituting the value of y = 12.75 - 5x  in (1).

⇒The equation 3x + 2y  = 9.75 becomes 3x + 2(12.75 -5x)  = 9.75

or, 3x - 10x + 25.5  = 9.75

or, -7x = -15.75

⇒ x = 15.75/7  = 2.25

Hence, the cost of 1 taco = $x = $2.25

Now, y =  12.75 - 5x

 = 12.75 - 5(2.25) = 12.75 - 11.25   = = 1.5

or, y =  $1.5.

Hence, the cost of 1 soda =  $y = $1.5

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

answer: c i think

step-by-step explanation: