A book store sells books for $4 each. When a customer purchases 2 books they receive 1 additional book for half-price . Anna bought just enough books to receive 3 half-price books. How much money did Anna spend?
3 at $2 + 6 at $4
6 + 24
30
6 @ $4 = $24
3 @ $2 = $6
24 + 6 = ?
To solve this problem, let's break it down step by step.
Step 1: Calculate the number of books Anna bought.
Since Anna received 3 half-price books, she must have purchased 6 books in total. (Every two books purchased results in one half-price book.)
Step 2: Calculate the number of full-price books Anna bought.
Out of the 6 books Anna purchased, 3 were full-priced books (since every two full-priced books results in one half-price book).
Step 3: Calculate the cost of the full-priced books.
Anna bought 3 full-priced books, and each book costs $4. Therefore, the total cost of the full-priced books is 3 x $4 = $12.
Step 4: Calculate the cost of the half-price books.
Anna received 3 half-price books, and each half-price book costs half of the original price of $4. Therefore, each half-price book costs $4/2 = $2.
To find the total cost of the half-price books, multiply the cost of one half-price book by the number of half-price books purchased: 3 x $2 = $6.
Step 5: Calculate the total amount Anna spent.
To get the total amount spent, we sum the cost of the full-priced books and the cost of the half-price books: $12 (full-priced) + $6 (half-priced) = $18.
Therefore, Anna spent $18 to purchase the books.