burts burger barn sold 495 hamburgers today. the number sold with cheese was half the number sold without cheese. how many of each kind were sold

Question

i need help on how to set up this question

Answer 1

495 hamburgers is the total amount of burgers sold. Assuming the only types of burgers being sold are those with cheese and those without cheese this total would be equivalent to the sum of the amount of each type of burger sold giving us:

495 burgers = burgers with cheese + burgers without cheese

since the number sold with cheese is (equals) half the number sold without cheese:

burgers with cheese = (1/2) * burgers without cheese.

Hope this helps.

Answer 2

Pick variable to represent plain hamburgers and cheeseburgers

Let P = # plain burgers

Let C = # cheeseburgers

 

P + C = 495

c = 1/2 P

 

P + 1/2 P = 495

 

3/2 P = 495

 

P = 2/3(495)

 

P = 330 plain hamburgers

C = 165 Cheeseburgers