At the same theater, a 16-ounce soda costs $3 and a 32-ounce soda costs $5. If the theater sells 12,480 ounces of soda for $2100, how many people bought soda?

Respuesta :

Answer:

540 people bought soda

Step-by-step explanation:

Let

x ----> the number of a 16-ounce soda

y ----> the number of a 32-ounce soda

we know that

[tex]16x+32y=12,480[/tex] ----> equation A

[tex]3x+5y=2,100[/tex] ----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

The solution is the point (300,240)

see the attached figure

therefore

300+240=540

540 people bought soda

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