1. ## Could you please show me how to solve this...

Pizza Corner sells medium and large specialty pizzas. A medium Meat Lovers pizza costs $10.95, and a large Meat Lovers pizza costs$14.95. One Saturday a total of 50 Meat Lovers pizzas were sold, and the receipts from the Meat Lovers pizzas were $663.50. How many medium and how many large Meat Lovers pizzas were sold? 2. Hi Originally Posted by camstill Pizza Corner sells medium and large specialty pizzas. A medium Meat Lovers pizza costs$10.95, and a large Meat Lovers pizza costs $14.95. One Saturday a total of 50 Meat Lovers pizzas were sold, and the receipts from the Meat Lovers pizzas were$663.50. How many medium and how many large Meat Lovers pizzas were sold?
Well,
define x = amount of medium Meat Lovers pizza
define y = amount of large Meat Lovers pizza

x*10.95 + y*14.95

50 pizzas were sold, that means x+y = 50 (1)
Furthermore someone got 663.50$that means x*10.95 + y*14.95 = 663.50$ (2)

you have 2 equations, solve them

=> x = 21, y = 29

Alright?

3. I understand the system of equations but am having trouble solving them. Could you show your work? Thanks.

4. Originally Posted by camstill
I understand the system of equations but am having trouble solving them. Could you show your work? Thanks.

x+y = 50 (1) => x = 50 -y

x*10.95 + y*14.95 = 663.50\$ (2)

You know x => (50 -y)*10.95+y*14.95 =663.50

547.5-y*10.95+y*14.95 =663.50

-y*10.95+y*14.95 =663.50-547.5

4y = 116

y = 116/4

y = 29

and you know x = 50 -y, thats why x = 50 - 29 = 21