Question

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?

Answer 1

Answer:

$T = 600$

Step-by-step explanation:

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

We have the following:

$2C + U + T = 1875$

$C + T = 1075$

$2C + U = 1275$

Required

Determine the cost of a table

Make T $the\ subject$ $in\ the$ first equation

$T = 1875 - (2C + U)$

In the third equation, we have that: $2C + U = 1275$

By substituting 1275 for 2C + U

$T = 1875 - (2C + U)$ becomes

$T = 1875 - 1275$

$T = 600$

Hence, a table costs $600