John buys 8 packs of cookies at the grocery store. The cookies ar eon sale for 50 cents off per pack. He speands 20.00. Which equation can be used to find the original cost of cookies?
Let x be the original cost of cookies.
The discounted cost of each pack of cookies is x - 0.50.
So, the total cost of 8 packs of cookies is 8(x - 0.50).
We know that John spent $20.00, so 8(x - 0.50) = 20.
This equation can be used to find the original cost of cookies. Answer: \boxed{8(x-0.50) = 20}.
Let's assume the original cost of a pack of cookies is 'x' dollars. The sale reduces the cost of each pack by 50 cents, so the cost after the sale is (x - 0.50) dollars.
Since John buys 8 packs, the total cost after the sale is 8 times the cost after the sale for one pack. Therefore, the equation that can be used to find the original cost of the cookies is:
8(x - 0.50) = 20.00
To find the original cost of the cookies, you can use the equation:
Original cost of cookies per pack x Number of packs - Discount = Total amount spent
Let's break down the given information:
John bought 8 packs of cookies, and each pack had a discount of 50 cents. This means that the total discount is 50 cents x 8 packs = $4.00.
John spent $20.00 in total, so we can substitute these values into the equation:
Original cost of cookies per pack x 8 packs - $4.00 = $20.00
Simplifying this equation, we get:
8 times the original cost of cookies per pack - $4.00 = $20.00
Now, we need to isolate the variable (original cost of cookies per pack), so let's move the $4.00 to the other side of the equation:
8 times the original cost of cookies per pack = $20.00 + $4.00
8 times the original cost of cookies per pack = $24.00
Now, to solve for the original cost of cookies per pack, divide both sides of the equation by 8:
Original cost of cookies per pack = $24.00 / 8
Therefore, the equation that can be used to find the original cost of cookies is:
Original cost of cookies per pack = $3.00