Question

A garden table and a bench cost $600 combined.

The cost of the garden table is three times the cost of the bench.

What is the cost of the bench?

Answer 1

$150
Garden table: $450 (x3 150)
Bench: $150
Total: $600
Hope this helps!

Answer 2

$150

Explanation:

A garden table and a bench together will cost $600. The actual values of the garden table and the bend are not given, but we know that the cost of a garden table will cost three times more than the bench.

Let
`x` = the cost of the bench.

Again, since the cost of the garden table is three times the cost of the bench (
`x`), we can represent the garden table as three times
`x` (
`3x`). These two terms will equal $600 when added, so let's formulate an equation:

`3x+x=600`

Combine like terms:

`4x=600`

Divide both sides of the equation by the coefficient of
`x`, which is
`4`:

`x=150`

_

Check your work by substituting
`150` into the original equation:

`3(150)+(150)=600`

`450+150=600`

`600=600`

Our answer is correct!