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

`T = 600`

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