Final answer:
To find out how many tokens Naomi collected to win £8395 given the formula p = 20x + 15, we solve the equation 8395 = 20x + 15. After subtracting 15 from both sides and then dividing by 20, we find that Naomi collected 419 tokens.
Step-by-step explanation:
The question is asking to determine how many tokens Naomi collected if she won £8395. The information given is a formula for calculating prize money where p stands for the prize money and x is the number of tokens collected. The formula is p = 20x + 15. To find out the number of tokens (x), we need to solve for x in the equation 8395 = 20x + 15.
First, we subtract 15 from both sides of the equation to isolate the terms with x:
8395 - 15 = 20x
8380 = 20x
Next, we divide both sides of the equation by 20 to solve for x:
8380 / 20 = x
419 = x
Therefore, Naomi collected 419 tokens to win £8395.