5. Write a problem that could be represented by the equation \( 5 n-6=19 \).

Imagine you're hosting a birthday party and you've decided to buy some party hats. Each party hat costs $5, and you initially thought you had $6 to start with. However, when you checked your funds, you realized that you actually have $19! Now, you're trying to figure out how many party hats you can buy with the extra money. The equation \( 5n - 6 = 19 \) represents the total cost of the hats (where \( n \) is the number of hats) after accounting for the amount you thought you had. To solve this problem, start by adding 6 to both sides of the equation to simplify it. This helps you understand the relationship between the quantity of hats and the money spent better. A common mistake is to forget to adjust both sides of the equation correctly when isolating \( n \) or miscalculating the total when determining how many hats you can buy. Double-check each step to avoid surprises when shopping!