Three pizzas and four sandwiches cost $34 three pizzas and seven sandwiches cost $41.50 write a system of equation to find the cost of one pizza

The cost of one pizza is $8

Step-by-step explanation:

From the question;

3 pizzas + 4 sandwiches = $34 3 pizzas + 7 sandwiches = $41.50

We are required to determine the cost of one Pizza

Assuming the cost of one pizza is x and the cost of one sandwich is y

Then we get the equations;

3x + 4y = $34

3x + 7y = $41.50

We can solve the equations simultaneously;

Subtracting the two equations;

3x + 4y = $34

3x + 7y = $41.50

...

-3y = - $7.5

y = $2.5

To get x;

3x = $34 - 4 ($2.5)

3x = $24

x = $8

Therefore, the cost of one pizza is $8