ANSWER
225 hamburguers
EXPLANATION
First, we have to name the variables:
• x: number of hamburgers sold
,
• y: number of cheeseburgers sold
We know that they sold a total of 503, so one of the equations is x + y = 503.
Also, we know that the number of cheeseburgers is 53 more than the number of hamburgers, so the other equation is y = x + 53.
We have to solve the system,
[tex]\begin{cases}x+y=503 \\ y=x+53\end{cases}[/tex]
Since we have to solve for x, we can use the substitution method. Replace y with the second equation in the first equation,
[tex]x+(x+53)=503[/tex]
Add like terms,
[tex]\begin{gathered} (x+x)+53=503 \\ 2x+53=503 \end{gathered}[/tex]
Subtract 53 from both sides,
[tex]\begin{gathered} 2x+53-53=503-53 \\ 2x=450 \end{gathered}[/tex]
And divide both sides by 2,
[tex]\begin{gathered} \frac{2x}{2}=\frac{450}{2} \\ \\ x=225 \end{gathered}[/tex]
Hence, 225 hamburgers were sold on Tuesday.
