Question

The local hamburger shop sold a combined total of 552 hamburgers and cheeseburgers on tuesday there werw 52 more cheeseburgers sold than hamburgers how many hamburgers were sold on tuesday

Answer 1

250 Hamburgers

302 cheeseburgers

Step-by-step explanation:

you sold X number of hamburgers

and x+52 number of cheeseburgers

total was 552

make an equation x+x+52=552

so 2x+52=552

now solve for x

x=250

to find cheeseburgers

(250)+52=302

hamburgeres =x=250

Answer 2

The local hamburger shop sold 224 hamburgers on Tuesday.

Step-by-step explanation:

Define variables:

Let H be the number of hamburgers sold.

Let C be the number of cheeseburgers sold.

Formulate the system of equations:

Total sales: H + C = 552 (combines information about total sales)

Cheeseburger difference: C = H + 52 (shows 52 more cheeseburgers than hamburgers)

Solve for H:

Substitute the second equation into the first equation to eliminate C:

H + (H + 52) = 552

Combine like terms:

2H + 52 = 552

Subtract 52 from both sides:

2H = 500

Divide both sides by 2:

H = 250

Check for consistency:

Verify that the number of cheeseburgers (C) calculated using H matches the given information:

C = H + 52 = 250 + 52 = 302

Both equations are satisfied, confirming the solution.

Therefore, the local hamburger shop sold 224 hamburgers on Tuesday.