A local hamburger shop sold a combined total of 498 hamburger and cheeseburger on Sunday. 52 fewer cheeseburgers sold than hamburgers how many hamburgers were sold on Sunday

Respuesta :

275 hamburgers were sold on Sunday.

Step-by-step explanation:

Let,

Hamburgers = x

Cheeseburgers = y

No. of sold burgers = 498

According to given statement;

x+y=498   Eqn 1

y=x-52   Eqn 2

Putting value of y from Eqn 2 in Eqn 1

[tex]x+(x-52)=498\\x+x-52=498\\2x=498+52\\2x=550\\[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{550}{2}\\x=275[/tex]

275 hamburgers were sold on Sunday.

Keywords: linear equations, substitution method

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