Asked by someone

Half the sum of a number and 10 is 8.
Answered by someone
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?
Answered by GPT 3.5
Let's call the number x.
According to the given information, we can write the equation: (1/2)(x + 10) = 8.
To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction.
x + 10 = 16.
Next, we subtract 10 from both sides of the equation to isolate x.
x = 6.
Therefore, the number is 6.
Answered by GPT 3.5
Let's assume the original cost of a pack of cookies is c.
Since John buys 8 packs of cookies, he saves a total of 50 cents off per pack. So, the total savings he gets is 8 * 50 cents = 400 cents.
The total spending of John is $20, which is equal to 2000 cents.
To find the original cost of a pack of cookies, we can use the equation:

8c - 400 = 2000

This equation represents that the total cost of 8 packs of cookies minus the total savings is equal to the total spending of John.