Question

Ms. Hogan paid $13.25 for 5 tacos and 1 soda. The price of a taco is $2.50. What is the price of the soda?

Answer 1

The soda costs $0.75.

Explanation:

We are given that Ms. Hogan paid $13.25 for 5 tacos and one soda. We are also given that one taco costs $2.50. Therefore, we can set up a system of equations to solve for how much a soda costs.

`\displaystyle\left \{ {{5x + y = \$13.25} \atop {x = 2.50}} \right.`

This is our required system of equations. We are given that one taco costs $2.50, so this is our x. Therefore, the price of one soda is y.

We can use the second equation and substitute it in place of the x in the first equation to solve for the price of the soda.

`\displaystyle5x+y=\$13.25\\\\5(2.50)+y=\$13.25\\\\12.5 + y = \$13.25\\\\y = \$0.75`

Therefore, one soda costs $0.75.

Answer 2

Answer: $0.75

Explanation:

To solve this problem, we can create 2 equations. Let's use x for tacos and y for soda.

Equation 1: 5x+y=13.25

Equation 2: x=2.5

Since we know the value of x, we can plug it into Equation 1 to solve for y.

5(2.5)+y=13.25 [multiply]

12.5+y=13.25 [subtract both sides by 12.5]

y=0.75

Now, we know the price of the soda is $0.75.