Questions: Solving a word problem with two unknowns using a linear equation A garden table and a bench cost 640 combined. The garden table costs 60 less than the bench. What is the cost of the bench?

Solving a word problem with two unknowns using a linear equation

A garden table and a bench cost 640 combined. The garden table costs 60 less than the bench. What is the cost of the bench?

Transcript text: Solving a word problem with two unknowns using a linear equation A garden table and a bench cost $\$ 640$ combined. The garden table costs $\$ 60$ less than the bench. What is the cost of the bench? \$ $\square$

Solution

Solution Steps

Step 1: Define the Equations

Given that the table costs a fixed amount less than the bench, the equation is $(x - 60) + x = 640$.

Step 2: Solve the Equation

Solving the equation for $x$ gives us the cost of the bench as 350. Then, using $x$ to find the cost of the table, we get 290.

Final Answer:

The cost of the bench is 350 and the cost of the table is 290.

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