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The Handler family spent a total of $26.75 on lunch. They bought 5 drinks and 3 sandwiches. Each drink costs $2.50 less than a sandwich. Which of the following equations could be used to find the cost of each sandwich?

Respuesta :

sam4040

Answer:

[tex]5(x-2.5)+3x=26.75\\x=4.90625$\\Where x is cost of sandwich.[/tex]

Step-by-step explanation:

Let cost of 1 sandwich[tex]=x[/tex]

Let cost of 1 drink[tex]=y[/tex]

[tex]3x+5y=26.75\\x-y=2.5 \Rightarrow y=x-2.5\\[/tex]

Now from the first equation

[tex]3x+5(x-2.5)=26.75\\8x-12.5=26.75\\8x=39.25\\x=4.90625[/tex]

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