Questions: [A garden table and a bench cost 150 combined. The cost of the garden table is two times the cost of the bench. What is the cost of the bench? X ↺]

Solution Steps

To solve this problem, we need to set up a system of equations based on the given information. Let the cost of the bench be \( b \) and the cost of the garden table be \( t \). According to the problem, we have the following equations:

1. \( t + b = 150 \)
2. \( t = 2b \)

We can substitute the second equation into the first to find the value of \( b \).

Let the cost of the bench be \( b \) and the cost of the garden table be \( t \). According to the problem, we have the following equations:

1. \( t + b = 150 \)
2. \( t = 2b \)

Substituting the second equation into the first gives: \[ 2b + b = 150 \] This simplifies to: \[ 3b = 150 \]

Dividing both sides by 3, we find: \[ b = \frac{150}{3} = 50 \]

Final Answer