Question

2. While on Amazon, you decide to keep shopping. You have wanted to buy a desk and chair so that you have a place to do your homework. The chair is $35 less than the desk. The two items together will cost $175 (tax is included). Use an algebraic equation to calculate the cost of each piece of furniture.​

Answer 1

Let's assume the cost of the desk is x dollars.
According to the information given, the chair is $35 less than the desk, so the cost of the chair would be (x - $35) dollars.

Now, the total cost of both items together, including tax, is $175.
So, the equation to represent this situation is:
x + (x - $35) = $175

To solve this equation, we simplify it:
2x - $35 = $175

Next, we isolate the variable:
2x = $175 + $35
2x = $210

Finally, we solve for x by dividing both sides of the equation by 2:
x = $210/2
x = $105

Therefore, the desk costs $105 and the chair costs ($105 - $35) = $70.