Answered

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Un gerente compró un total de 21 tazas de café y llaveros. Cada taza de café cuesta $8,50 y cada llavero cuesta $2,75. Si el gerente gastó un total de $132.50, ¿cuántas tazas de café compró el gerente?

Sagot :

Usemos la variable x para representar el número de tazas e y para el número de llaveros.

Si el número de artículos es 21, tenemos:

[tex]x+y=21[/tex]

Si el costo total es 132.5, tenemos:

[tex]8.5x+2.75y=132.5[/tex]

De la primera ecuación, podemos escribir:

[tex]y=21-x[/tex]

Usando este valor de y en la segunda ecuación:

[tex]\begin{gathered} 8.5x+2.75(21-x)=132.5 \\ 8.5x+57.75-2.75x=132.5 \\ 5.75x=74.75 \\ x=13 \end{gathered}[/tex]

Entonces la cantidad de tazas compradas es 13.

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