Question

A couch and coffee table cost a total of $1290. The cost of the couch is two times the cost of the coffee table. Find the coat of each item. Cost of couch:Cost of coffee table:

Answer 1

We can find the cost of the couch and coffee table as follow

Let the cost of the couch be C

Let the cost of the coffee table be T

First, we are told that they both cost $1290

Therefore, our first equation will be

`C+T=1290---equation1`

Next, we are told the cost of the couch is twice that of the coffee table

so

`C=2T---\text{equation 2}`

Solving equations 1 and 2 simultaneously

`\begin{gathered} \text{substitute C=2T into equation 1} \\ 2T+T=1290 \\ 3T=1290 \\ T=(1290)/(3) \\ T=410 \\ \text{The cost of the coffe}e\text{ table is \$ 430} \end{gathered}`

Next, we will find the cost of the couch

`\begin{gathered} C=2T \\ C=2*430 \\ C=860 \\ The\text{ cost of the coffe}e\text{ table is \$860} \end{gathered}`

The cost of the couch is $860

The cost of the coffee table is $430