Math  /  Algebra

QuestionSabah has $450\$ 450 to pay for college textbooks. She expects to pay about $75\$ 75 per book. Her friend told her that 4 of them can be checked out of the library for free.
Complete the equation below to find the total number of books that Sabah can get for her classes. Use bb to represent the total books. CLEAR CHECh \square ( \square - \square \square

Studdy Solution

STEP 1

1. Sabah has a total of \$450 to spend on textbooks.
2. Each textbook costs \$75.
3. 4 textbooks can be checked out for free from the library.
4. We need to find the total number of books, represented by \( b \).

STEP 2

1. Determine the number of books Sabah can purchase.
2. Account for the free books from the library.
3. Write and complete the equation using the given information.

STEP 3

Determine the number of books Sabah can purchase with her budget.
Calculate the number of books she can buy by dividing her budget by the price per book:
Number of books she can buy=45075 \text{Number of books she can buy} = \frac{450}{75}

STEP 4

Account for the free books from the library.
Sabah can check out 4 books for free, so add these to the number of books she can purchase:
b=Number of books she can buy+4 b = \text{Number of books she can buy} + 4

STEP 5

Write and complete the equation using the given information.
The equation to find the total number of books b b is:
b=(45075)+4 b = \left( \frac{450}{75} \right) + 4
Calculate the number of books she can buy:
45075=6 \frac{450}{75} = 6
So, the equation becomes:
b=6+4 b = 6 + 4
b=10 b = 10
The total number of books that Sabah can get for her classes is:
10 \boxed{10}

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