Answered

A taco shop sells tacos and fountain drinks.
Nash bought two tacos and three fountain drinks
for $13. Everly bought four tacos and two
fountain drinks for $14. Write and solve a
system of equations to determine the cost of a
taco and a fountain drink.

Answer :

The cost of one taco is $2, while the cost of one fountain drink is $3.

What are the system of equations that represent the question?

2t + 3f = $13 equation 1

4t + 2f = $14 equation 2

Where:

  • t = number of tacos bought
  • f = number of drinks bought

How many drinks were bought?

Multiply equation 1 by 2:

4t + 6f = 26 equation 3

Subreact equation 2 from equation 3

4f = 12

Divide both sides by 4

f = 12 / 4

f = $3

How many tacos were bought?

Subsistute for f in equation 1

2(t) + (3 x 3) = $13

2t + 9 = 13

2t = 13 - 9

2t = 4

t = 4/2

t = $2

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

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