Calculate Andrew's Final Book Cost After 30% and 10% Membership Discounts

Question

In a bookstore there is a 30% discount on all books. Customers with a membership are entitled to an additional 10% discount. Andrew has a membership and wants to buy a book that costs 94 dollars. What will the discounted price of the book be?

Video Solution

Solution Steps

00:00 Determine the final price of the book
00:12 Calculate each discount separately
00:23 Convert from percentages to fractions
00:41 This is the 30 percent discount
00:50 We want to calculate the book price after the discount, thus we subtract
00:57 This is the book price after the initial discount
01:04 Proceed to calculate the club member discount (10%) from the above price
01:16 Apply the same method, convert from percentages to fractions and multiply by the price
01:27 This is the discount that needs to be subtracted to determine the final price
01:34 Subtract the discount and solve to find the final price
01:42 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate the price after the first discount.
  • Step 2: Calculate the price after the additional membership discount.

Now, let's work through each step:

Step 1: Apply the first discount of 30% to the original price of 94.
The price after a 30% discount is calculated as follows:

\( \text{Price after first discount} = 94 \times (1 - 0.30) = 94 \times 0.70 = 65.8 \text{ dollars}

Step 2: Apply the additional membership discount of 10% to the new price.
The final price after the additional 10% discount is calculated as follows:

Final discounted price=65.8×(10.10)=65.8×0.90=59.22 dollars \text{Final discounted price} = 65.8 \times (1 - 0.10) = 65.8 \times 0.90 = 59.22 \text{ dollars}

Therefore, the discounted price Andrew will pay is 59.22 59.22 dollars.

Answer

59.22 $