Question

An author receives $0.75 for each hardcover book or paperback book that is sold. There were x hardcover books and 42,000 paperback books sold of her most recent book. The author received a total of $60,000 for the book sales. The equation below can be used to determine the number of hardcover books that were sold. 0.75(x + 42,000) = 60,000. How many hardcover books were sold?

Answer 1

To find the number of hardcover books sold, solve the equation 0.75(x + 42,000) = 60,000. The number of hardcover books sold is 38,000.

Step-by-step explanation:

To find the number of hardcover books that were sold, we need to solve the equation 0.75(x + 42,000) = 60,000.

First, distribute the 0.75 to both terms inside the parentheses: 0.75x + 0.75(42,000) = 60,000.

Simplify the equation: 0.75x + 31,500 = 60,000.

Next, subtract 31,500 from both sides of the equation: 0.75x = 28,500.

Finally, divide both sides of the equation by 0.75: x = 38,000.

Therefore, there were 38,000 hardcover books sold.

Answer 2

0.75(42,000) = 31,500
0.75x + 31,500 = 60,000
Subtract both sides by 31,500
0.75x = 28500
Divide both sides by 0.75
Answer = 38,000