Question

a teacher buys packs of notebooks to give to their students. the tape diagram represents the ratio of brown notebooks to red notebooks.
brown notebooks
diagram of 5 brown rectangles and 3 red rectangles
red notebooks
based on the ratio, if there are 24 red notebooks, what is the number of brown notebooks?
blank brown notebooks

Explanation:

Step1: Determine the ratio

From the tape diagram, the number of brown notebook segments is 5 and red is 3. So the ratio of brown to red notebooks is \( 5:3 \).

Step2: Find the multiplier

Let the multiplier be \( x \). The number of red notebooks is \( 3x = 24 \). Solving for \( x \), we get \( x=\frac{24}{3}=8 \).

Step3: Calculate brown notebooks

The number of brown notebooks is \( 5x \). Substituting \( x = 8 \), we get \( 5\times8 = 40 \).

Answer:

40