Answer:
Let's denote the number of hamburgers sold as
H and the number of cheeseburgers sold as
C.
Given that the total number of hamburgers and cheeseburgers sold is 625, we can express this as an equation:
+
=
625
H+C=625
We're also told that there were 75 fewer cheeseburgers sold than hamburgers, which we can express as:
=
−
75
C=H−75
Now, we can substitute the second equation into the first equation:
+
(
−
75
)
=
625
H+(H−75)=625
Combine like terms:
2
−
75
=
625
2H−75=625
Add 75 to both sides:
2
=
625
+
75
2H=625+75
2
=
700
2H=700
Divide both sides by 2:
=
700
2
H=
2
700
=
350
H=350
So, 350 hamburgers were sold on Monday.
Step-by-step explanation: