Question

3. Look at the following problem:

One day of the reunion the whole family went to a nearby museum. Since we were a large group, we got a discounted rate and each ticket was $3 less than the normal ticket price. We had to pay $12 for each ticket. What is the normal ticket price?

Write a paragraph explaining what strategy or strategies could be used to solve this problem. Be sure to include a way in which a variable equation could be implemented:

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this problem, one strategy that could be used is setting up a variable equation. Let's let the variable x represent the normal ticket price. Since each ticket was $3 less than the normal price, we can subtract 3 from x to find the discounted ticket price. According to the problem, we had to pay $12 for each ticket, so we can set up the equation x - 3 = 12. By solving this equation, we can find the value of x, which represents the normal ticket price. Another strategy that could be used is trial and error. We can start by subtracting $3 from $12 to see if the result is a whole number. If it is, then we have found the normal ticket price. If not, we can try subtracting $3 from a smaller number until we find the correct price.