Answer:
C + C+54 = 496
2C+54 = 496
2C = 442
C = 221 (number of cheeseburgers sold)
275 hamburgers and 223 cheeseburgers were sold on Tuesday.
Solution:
Assume hamburgers as H and cheeseburgers as C,
From the given,
Total number of hamburgers and cheeseburgers sold on Tuesday is 498 i.e. [tex]H+C=498 \rightarrow H=498-C \rightarrow (1)[/tex]
There were 52 fewer cheeseburgers sold than hamburgers i.e. [tex]H-C=52 \rightarrow (2)[/tex]
On substituting (1) in (2) we get,
[tex]498-C-C=52 \rightarrow 498-2C=52 \rightarrow 498-52=2C[/tex]
[tex]\Rightarrow 446=2C \rightarrow \frac{446}{2}=C \rightarrow C=223 \rightarrow (3)[/tex]
On substituting (3) in(1) we get,
[tex]H=498-223=275[/tex]
[tex]\therefore H=275 \text{ and } C=223[/tex]
