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?

$150

Step-by-step 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 = the cost of the bench.

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

Combine like terms:

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

_

Check your work by substituting into the original equation:

Our answer is correct!

step-by-step explanation: