A local hamburger shop sold a combined total of 814hamburgers and cheeseburgers on Sunday.There were
64 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
C+H=814
(H+64)+H=814
solve for H
H=375
Let's represent the number of hamburgers sold as x. Since there were 64 more cheeseburgers sold than hamburgers, the number of cheeseburgers sold can be expressed as x+64.
The total number of hamburgers and cheeseburgers sold is given as 814, so we can write the equation:
x + (x+64) = 814
Simplifying the equation:
2x + 64 = 814
Subtracting 64 from both sides:
2x = 750
Dividing both sides by 2:
x = 375
Therefore, the number of hamburgers sold on Sunday was 375.
To find the number of hamburgers sold on Sunday, we can set up a system of equations based on the information given.
Let's represent the number of hamburgers sold as H, and the number of cheeseburgers sold as C.
We are told that a combined total of 814 hamburgers and cheeseburgers were sold, so our first equation is:
H + C = 814
We are also told that there were 64 more cheeseburgers sold than hamburgers, so our second equation is:
C = H + 64
Now, we can substitute the value of C from the second equation into the first equation:
H + (H + 64) = 814
Simplifying the equation, we get:
2H + 64 = 814
Subtracting 64 from both sides:
2H = 750
Dividing both sides by 2:
H = 375
Therefore, 375 hamburgers were sold on Sunday.