Question

elu and her family buy snacks at the movies. they buy 3 pretzels and 4 drinks for $17.50. the cost of a pretzel is the same as the cost of a drink. the situation can be represented by the graph and the system of equations shown, where $p$ is the cost of a pretzel and $d$ is the cost of a drink.$3p + 4d = 17.50$ $longleftarrow$ 3 pretzels and 4 drinks cost $17.50.$p = d$ $longleftarrow$ a pretzel costs the same as a drink.a. what is the cost of each pretzel? what is the cost of each drink?show your work.

Explanation:

Step1: Substitute $p=d$ into first equation

$3d + 4d = 17.50$

Step2: Combine like terms

$7d = 17.50$

Step3: Solve for $d$

$d = \frac{17.50}{7} = 2.50$

Step4: Find $p$ using $p=d$

$p = 2.50$

Answer:

The cost of each pretzel is $\$2.50$, and the cost of each drink is $\$2.50$.