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Patio sets consisting of couches, umbrellas, and a firepit table are sold at a local furniture store, A set with 2 couches, an umbrella and a table are sold for $1875. A set with one couch and a table are sold for $1075. A set with 2 couches and an umbrella are sold for $1275What is the price of the table?

Respuesta :

MrRoyal

Answer:

[tex]T = 600[/tex]

Step-by-step explanation:

Represent the table with T, couch with C an umbrella with U

We have the following:

[tex]2C + U + T = 1875[/tex]

[tex]C + T = 1075[/tex]

[tex]2C + U = 1275[/tex]

Required

Determine the cost of a table

Make T [tex]the\ subject\[/tex] [tex]in\ the[/tex] first equation

[tex]T = 1875 - (2C + U)[/tex]

In the third equation, we have that: [tex]2C + U = 1275[/tex]

By substituting 1275 for 2C + U

[tex]T = 1875 - (2C + U)[/tex] becomes

[tex]T = 1875 - 1275[/tex]

[tex]T = 600[/tex]

Hence, a table costs $600

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