Answer:
The number of hamburgers sold with cheese was 165 and the number of hamburgers sold without cheese was 330
Step-by-step explanation:
The correct question is
Birds burgers barn sold 495 hamburgers today. The number sold with cheese wise half the number sold without cheese. How many of each kind were sold?
Let
x -----> the number of hamburgers sold with cheese
y -----> the number of hamburgers sold without cheese
we know that
[tex]x+y=495[/tex] -----> equation A
[tex]x=\frac{1}{2}y[/tex] ----> equation B
substitute the equation B in equation A and solve for y
[tex]y+\frac{1}{2}y=495[/tex]
[tex]\frac{3}{2}y=495[/tex]
[tex]y=495(2)/3[/tex]
[tex]y=330[/tex]
Find the value of x
[tex]x=\frac{1}{2}330=165[/tex]
therefore
The number of hamburgers sold with cheese was 165 and the number of hamburgers sold without cheese was 330