Tess and Dan have $24 each to spend at a book fair. We’re all students receive a 15% discount. They both want to purchase a copy of the same book which normally sells for 2450+10% sales tax.
To calculate the price of the book with the 10% sales tax, we need to first find the price of the book before the tax is applied.
Let's call the price of the book before tax X.
Since the price of the book is 2450 + 10% of the price, we can write the equation:
X = 2450 + 0.1X
Subtracting 0.1X from both sides of the equation, we get:
0.9X = 2450
Dividing both sides of the equation by 0.9, we find:
X = 2722.22
So the price of the book before tax is $2722.22.
Now, let's calculate the price after the 15% discount for Tess and Dan.
Since they both have $24 to spend at the book fair, and the discount is 15%, we can calculate the discounted price by multiplying the original price of the book by 85% (100% - 15%).
For Tess:
Discounted price for Tess = 0.85 * X = 0.85 * 2722.22 = $2314.89
For Dan:
Discounted price for Dan = 0.85 * X = 0.85 * 2722.22 = $2314.89
Therefore, both Tess and Dan can afford to purchase the book as the discounted price is $2314.89, which is less than the $24 they have each.