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Question
John buys 8 packs of cookies at the grocery store. The cookies are on sale for 50 cents off per pack. He spends $20. Which equation can be used to find the original cost of a box of cookies, c?(1 point)
Responses

8(c+0.50)=20
8 times open paren c plus 0 point 5 0 close paren is equal to 20

8c−0.50=20
8 c minus 0 point 5 0 is equal to 20

8(c−0.50)=20
8 times open paren c minus 0 point 5 0 close paren is equal to 20

8−0.50c=20
8 minus 0 point 5 0 c is equal to 20
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1 answer

To solve for the original cost of a pack of cookies, let's analyze the information given:

John buys 8 packs of cookies, and they are on sale for 50 cents off per pack. He spends a total of $20.

Let \( c \) represent the original cost of a pack of cookies. Since there is a discount of 50 cents, the cost he actually pays for each pack is \( c - 0.50 \).

Thus, when he buys 8 packs of cookies, he spends: \[ 8(c - 0.50) = 20 \]

Now, looking at the options provided:

  1. 8(c + 0.50) = 20 - This would imply he is paying more than the original price, which is incorrect.
  2. 8c - 0.50 = 20 - This does not account for the total spent after applying the discount; it doesn’t reflect the correct situation.
  3. 8(c - 0.50) = 20 - This is correct as it correctly represents the total cost after applying the discount.
  4. 8 - 0.50c = 20 - This equation does not represent the problem correctly.

Thus, the correct answer is: 8(c - 0.50) = 20.