Which strategies can be used to solve this problem?
Kathleen invited 28 people to her party. She plans to seat 8 people at the dining room table. She will put the rest at round tables with 4 people at each table.
What is the fewest number of round tables that Kathleen needs so that each guest will have a seat?
Choose all answers that are correct.
A.
Draw a diagram.
Eight people at 1 table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people
B.
Use logical reasoning.
Start with 28 people, subtract 8 people who will sit at the dining room table, that leaves 20 people. Keep subtracting 4 people until you get to 0. Count how many times you subtracted 4 people.
C.
Translate into an equation.
28 – 8 + 4 + 4 = t
D.
Work backward.
There are 28 people coming to the party. There is one dining table, so subtract 1. Now figure out how many round tables there are and subtract that number.
A restaurant has two rooms.room A has 8 rows of seats with 12 seats in each row.room B has three times as many seats as room A.how many seats are there in room B.
no
Only A and B make sense
although at the end of A , you probably meant to say 4 people at round table
To solve this problem, there are several strategies that can be used:
A. "Draw a diagram": You can draw a diagram to visualize the seating arrangement. Start with 8 people at the dining room table, and then draw round tables with 4 people at each until all the guests are seated. Count the number of round tables used.
B. "Use logical reasoning": Start with the total number of people, which is 28. Subtract the 8 people who will sit at the dining room table, which leaves 20 people. Then, keep subtracting groups of 4 people until you reach 0. Count how many times you subtracted 4 people to determine the number of round tables needed.
C. "Translate into an equation": Use an equation to represent the problem. In this case, you can set up an equation like 28 - 8 + 4 + 4 = t, where 't' represents the number of round tables needed. Solve the equation to find the value of 't'.
D. "Work backward": Start with the total number of people, which is 28. Deduct 1 for the dining table, and then figure out the remaining number of round tables needed. Subtract that number from the total number of people.
To find the fewest number of round tables that Kathleen needs, you can try using any of these strategies and select the correct answer(s) based on the given options.