Question

1. there are 88 seats in a theater. the seating in the theater is split into 4 identical sections. each section has 14 red seats and some blue seats.

a) draw a tape diagram to represent the situation.

Explanation:

Part (a) - Tape Diagram Explanation:

1. Total Seats and Sections: The theater has 88 seats split into 4 identical sections. So first, we can represent the total with a long tape (or bar) labeled "Total Seats: 88". Then divide this tape into 4 equal parts (since 4 identical sections), each part representing one section.
2. Red and Blue Seats in Each Section: In each section, there are 14 red seats and some blue seats. So within each of the 4 section - tapes, we can split each into two parts: one labeled "Red Seats: 14" (with a length corresponding to 14 seats) and the other labeled "Blue Seats:? " (representing the unknown number of blue seats in each section).

How to Draw the Tape Diagram:

• Step 1: Draw the Total Tape: Draw a horizontal rectangle (tape) and label it "Total Seats = 88".
• Step 2: Divide into 4 Sections: Divide the total tape into 4 equal - sized smaller rectangles (since there are 4 identical sections). Label each of these smaller rectangles as "Section 1", "Section 2", "Section 3", "Section 4" (or just "Section" for simplicity, since they are identical).
• Step 3: Split Each Section into Red and Blue: For each of the 4 section - tapes, draw a smaller sub - rectangle on the left (or right) and label it "Red Seats: 14". Then draw another sub - rectangle next to it (in the same section - tape) and label it "Blue Seats:? " to represent the unknown number of blue seats in each section.

(Note: Since this is a text - based response, a visual diagram can't be drawn here, but the above steps describe how to create the tape diagram. If you were drawing it on paper, you would use rectangles (tapes) with the appropriate labels and divisions.)

Answer:

Part (a) - Tape Diagram Explanation:

1. Total Seats and Sections: The theater has 88 seats split into 4 identical sections. So first, we can represent the total with a long tape (or bar) labeled "Total Seats: 88". Then divide this tape into 4 equal parts (since 4 identical sections), each part representing one section.
2. Red and Blue Seats in Each Section: In each section, there are 14 red seats and some blue seats. So within each of the 4 section - tapes, we can split each into two parts: one labeled "Red Seats: 14" (with a length corresponding to 14 seats) and the other labeled "Blue Seats:? " (representing the unknown number of blue seats in each section).

How to Draw the Tape Diagram:

• Step 1: Draw the Total Tape: Draw a horizontal rectangle (tape) and label it "Total Seats = 88".
• Step 2: Divide into 4 Sections: Divide the total tape into 4 equal - sized smaller rectangles (since there are 4 identical sections). Label each of these smaller rectangles as "Section 1", "Section 2", "Section 3", "Section 4" (or just "Section" for simplicity, since they are identical).
• Step 3: Split Each Section into Red and Blue: For each of the 4 section - tapes, draw a smaller sub - rectangle on the left (or right) and label it "Red Seats: 14". Then draw another sub - rectangle next to it (in the same section - tape) and label it "Blue Seats:? " to represent the unknown number of blue seats in each section.

(Note: Since this is a text - based response, a visual diagram can't be drawn here, but the above steps describe how to create the tape diagram. If you were drawing it on paper, you would use rectangles (tapes) with the appropriate labels and divisions.)