Final answer:
James spent $23.92 at the store, and after buying cheese for $15.67, the price of one box of crackers is found to be $2.75 by creating an equation and solving for the variable representing the price of the crackers.
Step-by-step explanation:
James spent a total of $23.92 at the store on a pack of cheese and 3 boxes of crackers. The cheese cost $15.67, and we are looking to find the price of 1 box of crackers. We will let the price of one box of crackers be represented by x. Therefore, the equation to represent James's total spending on the crackers would be 3x, which represents the price of 3 boxes of crackers. To solve for x, we set up the equation as follows:
15.67 + 3x = 23.92
To isolate x, we subtract $15.67 from both sides of the equation:
3x = 23.92 - 15.67
3x = 8.25
To find the price of one box of crackers, divide both sides by 3:
x = 8.25 / 3
x = $2.75
Hence, the price of one box of crackers is $2.75.