Question

Initial Knowledge Check

Question 9
On Wednesday, a local hamburger shop sold a combined total of 243 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the
number of hamburgers sold. How many hamburgers were sold on Wednesday?

Answer 1

The local hamburger shop sold 81 hamburgers on Wednesday when a total of 243 hamburgers and cheeseburgers were sold, with the number of cheeseburgers being two times that of hamburgers.

Step-by-step explanation:

To solve how many hamburgers were sold on Wednesday when a local hamburger shop sold a combined total of 243 hamburgers and cheeseburgers, and the number of cheeseburgers sold was two times the number of hamburgers sold, we can set up an equation. Let H be the number of hamburgers sold and C be the number of cheeseburgers sold. We are told that:

C = 2H (since the number of cheeseburgers is two times the number of hamburgers sold).

H + C = 243 (combined total of hamburgers and cheeseburgers).

By substituting the first equation into the second, we get:

H + 2H = 243,

3H = 243.

Dividing both sides by 3 to solve for H we obtain:

H = 243 / 3,

H = 81.

Therefore, the hamburger shop sold 81 hamburgers on Wednesday.

Answer 2

Step-by-step explanation:

Let x=hamburger and y=cheeseburger

243=x+y

Y=2x

Plug second equation into first one

243=x+2x

243=3x

Divide each side by 3

61=x

So 61 hamburgers and 122 cheeseburgers (plugging x into second equation)