Final answer:
Using a tape diagram, we can represent the theater's 88 seats, split into 4 identical sections, with each having 14 red seats and 8 blue seats for a total of 22 seats per section.
Step-by-step explanation:
In response to the student's question regarding the theater seating distribution, we will use a tape diagram to represent the situation where there are 88 seats in a theater, split into 4 identical sections, with each section having 14 red seats plus some blue seats.
Step by Step Explanation
1. Start by understanding that the total number of seats in the theater is 88.
2. There are 4 identical sections in the theater. This means if you divide the total number of seats by the number of sections, you will find the number of seats per section.
3. Calculate the number of seats per section: Divide 88 seats by the 4 sections, which equals 22 seats per section.
4. Since each section has 14 red seats, we need to find out how many blue seats there are. Subtract the number of red seats from the total seats in each section.
5. Calculate the number of blue seats per section: 22 seats per section minus 14 red seats equals 8 blue seats per section.
Tape Diagram: A tape diagram is a visual tool used to illustrate the relationship between different parts of a problem. To represent this situation, draw a rectangle and divide it into 4 equal parts, symbolizing the 4 sections. Each part will contain 14 small rectangles grouped together, representing the red seats, and 8 separate small rectangles, representing the blue seats. In summary, the tape diagram will show 4 groups of 22 seats (14 red and 8 blue) to illustrate the seating arrangement in the theater.