a local hamburger shop sold a combined total of 772 hamburgers and cheeseburgers on monday. There were 72 more cheeseburgers sold than hamburgers. How many hamburgers were sold on monday

Respuesta :

Answer:

700

Step-by-step explanation:

combined total 772

72 more cheese burgers than hamburgers

772-72=700

Answer is 350 hamburgers

First our equations:

We know there are x cheeseburgers and y hamburgers for total of 772.
And
y hamburgers = x + 72 cheeseburgers

x + y = 772
y = x + 72

Solve

Substitute the 2nd equation “y” value into the “y” position of the first equation
x + x + 72 = 772

2x + 72 = 772

subtract 72 from both sides

2x + 72 - 72 = 772 - 72

2x = 700
divide both sides by 2 to solve for x

X = 350 hamburgers

Check your work.
Using your first equation solve for y
x + y .= 772

350 + y = 772

350 - 350 + y = 772 - 350

y = 422

Now substitute in values for x and y

350 + 422 = 772
772 = 772
Problem solved!