Answer: For 3 days, the charges for Charb's cruises and Creamer's cruises will be the same.
Explanation:
To find the number of days for which the charges for Charb's cruises and Creamer's cruises will be the same, we can set up an equation by equating the total charges for both companies.
Let's represent the number of days by the variable 'd'.
For Charb's cruises:
Total charge = (daily charge) * (number of days) + (one-time fee)
Total charge = $85d + $75
For Creamer's cruises:
Total charge = (daily charge) * (number of days) + (fee)
Total charge = $100d + $30
To find the number of days when the charges will be the same, we can equate the total charges for both companies:
$85d + $75 = $100d + $30
Now, let's solve this equation to find the value of 'd'.
$85d - $100d = $30 - $75
-$15d = -$45
Dividing both sides by -15, we get:
d = 3
Therefore, for 3 days, the charges for Charb's cruises and Creamer's cruises will be the same.