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Each hotdog cost $1.50 and sodas cost $.50. At the end of the day you made a total of $78.50.You sold a total of 87 hot dogs and sodas combined.How many hotdogs and sodas were sold?

Respuesta :

calculista

Answer:

The number of hot dogs sold was 35 and the number of sodas sold  was 52

Step-by-step explanation:

Let

x ----> the number of hot dogs sold

y ----> the number of sodas sold

we know that

[tex]x+y=87[/tex]

[tex]x=87-y[/tex] ----> equation A

[tex]1.50x+0.50y=78.50[/tex] ----> equation B

Solve the system by substitution

substitute equation A in equation B

[tex]1.50(87-y)+0.50y=78.50[/tex]

solve for y

[tex]130.50-1.50y+0.50y=78.50[/tex]

[tex]1.50y-0.50y=130.50-78.50[/tex]

[tex]y=52\ sodas[/tex]

Find the value of x

[tex]x=87-52=35\ hot dogs[/tex]

therefore

The number of hot dogs sold  was 35 and the number of sodas sold  was 52

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