A garden table and a bench cost $771 combined. The garden cost $71 more than the bench. What is the cost of the bench?
Let's call the cost of the bench "x".
According to the problem, the cost of the garden is $71 more than the cost of the bench. So the cost of the garden can be written as:
x + $71
We also know that the total cost of the bench and the garden table combined is $771. So we can set up an equation:
x + (x + $71) = $771
Simplifying this equation:
2x + $71 = $771
Subtracting $71 from both sides:
2x = $700
Dividing both sides by 2:
x = $350
Therefore, the cost of the bench is $350.
Let's assume the cost of the bench is represented by 'x'.
According to the given information, the cost of the garden table and bench combined is $771. Therefore, we can write the equation:
x + (x + $71) = $771
Simplifying the equation, we combine like terms:
2x + $71 = $771
Next, we will isolate 'x' by subtracting $71 from both sides of the equation:
2x = $771 - $71
Simplifying further, we have:
2x = $700
To solve for 'x', we will divide both sides of the equation by 2:
x = $700 / 2
Therefore, the cost of the bench is $350.