Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.