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Israel y su amigo fueron al cine y compraron dos entradas de cine a 12.50 cada una también compraron dos bolsas de palomitas de maíz y dos bebidas cada bolsa de pantalones de maíz cuestan 2.25 gastaron un total de 33 en el teatro escribir resolver una ecuación para encontrar el costo de una bebida.Israel and his friend went to the movies and bought two movie tickets at 12.50 each they also bought two bags of popcorn and two drinks each bag of corn pants cost 2.25 spent a total of 33 in the theater write solve an equation to find the cost of a drink.

Sagot :

Let,

x = number of drinks/número de bebidas

y = number of popcorn/número de palomitas de maíz

z = number of tickets/número de entradas

A = price of drinks/precio de las bebidas

B = price of popcorn/precio de las palomitas de maíz

C = price of tickets/precio de las entradas

T = total cost/coste total

We get,

[tex]\text{ T = Ax + By + Cz}[/tex]

But,

x, y, z = 2

B = 2.25

C = 12.50

T = 33.00

Conectemos los valores a la fórmula para poder determinar el precio de las bebidas.

[tex]\text{ T = Ax + By + Cz }\rightarrow\text{ 33 = A(2) + (2.25)(2) + (12.50)(2)}[/tex][tex]\text{33 = A(2) + (2.25)(2) + (12.50)(2) }\rightarrow\text{ 33 = 2A + 4.50 + 25.00}[/tex][tex]\text{ 33 = 2A + 29.5 }\rightarrow\text{ 2A = 33 -29.5 }\rightarrow\text{ 2A = 3.50}[/tex][tex]\text{ A = }\frac{3.50}{2}\text{ = 1.75}[/tex]

Por tanto, el coste de las bebidas es 1.75.

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