At a concession stand, 9 slices of pizza and 5 soft pretzels cost $33.25. If 6 soft pretzels and 4 slices of pizzas cost $19.50,

Question

Katyanochek1 [597]

2 years ago

9

At a concession stand, 9 slices of pizza and 5 soft pretzels cost $33.25. If 6 soft pretzels and 4 slices of pizzas cost $19.50,

what is the cost of a soft pretzel and a slice of pizza?

Mathematics

2 answers:

lisabon 2012 [21] · Answer 1 · 2022-08-11T02:18:00+03:00

Let x and y represent the costs of a pizza slice and a soft pretzel, respectively. The two purchases can be described by ...
9x +5y = 33.25
4x +6y = 19.50

A graph shows the solution of these equations to be
(x, y) = (3, 1.25)

The cost of a soft pretzel is $1.25.
The cost of a slice of pizza is $3.00.

vichka [17] · Answer 2 · 2022-08-11T03:24:09+03:00

9x+5y=33.25
4x+6y=19.50
Multiply the first equation by 6 and the second one by 5 so the ys (soft pretzels) will cancel out and leave you with x (slices of pizza) so you should get:
54x+30y=199.50
20x+30y=97.50
Then subtract the equations leaving you with:
34x=102
X=3
So each piece of pizza is $3
Then plug 3 in for x to get y I’ll just use the first equation
27+5y=33.25
5y=6.25
Y=1.25
Each pretzels costs $1.25