Question

Concession stand nine slices of pizza and five sauce espresso cost 33.25. If four slices of pizza and six soft pretzels cost 19.5, what is the cost of the soft pretzel?

Answer 1

The cost of each soft pretzel is $0.45.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's call the cost of each slice of pizza 'x' and the cost of each soft pretzel 'y'.

From the given information, we have two equations:

9x + 5y = 33.25

4x + 6y = 19.5

To solve this system, we can use either substitution or elimination method. Let's use the elimination method:

Multiplying the first equation by 2 and multiplying the second equation by 5, we get:

18x + 10y = 66.50

20x + 30y = 97.50

Now, subtracting the second equation from the first equation, we get:

-2x - 20y = -31.00

Simplifying further, we get:

2x + 20y = 31.00

Now, we can multiply this equation by 5 and add it to the second equation:

20x + 30y = 97.50

10x + 100y = 155.00

Eliminating the 'x' term, we get:

130y = 58.00

Dividing by 130, we find that y = 0.45

Therefore, the cost of each soft pretzel is $0.45.