write an equation that could be used to answer the question above first choose the appropriate form then fill in the blanks with the numbers 75, 6, and 3. Let b represent the number of books.

3 answers

To create an equation based on the numbers provided (75, 6, and 3), we first need to clarify what we are trying to solve. A common scenario could involve finding how many books can be purchased given a certain budget, cost per book, or similar.

Assuming the context is about buying books, and that 75 is the total amount of money available, 6 is the cost per book, and you want to find out how many books (b) you can buy, the equation can be set up as follows:

\[ 6b = 75 \]

Here:

  • \(b\) represents the number of books,
  • \(6\) is the cost per book,
  • \(75\) is the total amount of money available.

You can solve for \(b\) by dividing both sides of the equation by 6:

\[ b = \frac{75}{6} \]

Thus, you can solve for \(b\) to find the maximum number of books you can buy with $75 if each book costs $6.

first __ b +___ =____

To fill in the blanks for the equation in the form first __ b + __ = __, using the numbers 75, 6, and 3, we could consider the following setup:

Assuming you want to find the total cost of buying a certain number of books (b) and want to incorporate the numbers 75 and 3 in a meaningful way, the equation could represent something like the total cost being compared to an available budget, possibly accounting for an additional expense fixed at 3.

For example:

First, 6b + 3 = 75

Here:

  • 6 represents the cost per book,
  • b represents the number of books,
  • 3 can represent an additional fixed cost,
  • 75 represents the total available budget.

In this equation, you can solve for \(b\) by rearranging it:

\[ 6b = 75 - 3 \] \[ 6b = 72 \] \[ b = \frac{72}{6} \] \[ b = 12 \]

This means you can buy 12 books when accounting for an additional cost of 3 with a total budget of 75.