Using the table of distances, make up your own word problem that would require someone to use division to solve. Write the problem, and provide the solution.
Problem: Sarah and John work at different offices located in the same building. Sarah's office is on the 8th floor, while John's office is on the 22nd floor. Assume each floor has a height of 10 feet. How many flights of stairs does Sarah need to climb to reach John's office?
Solution: To solve this problem, we divide the total height difference between the floors by the height of each flight of stairs.
The total height difference between Sarah and John's offices is (22 - 8) x 10 = 14 x 10 = 140 feet.
Assuming each flight of stairs covers a height of 10 feet, Sarah needs to climb 140 ÷ 10 = 14 flights of stairs to reach John's office.
Sure! Here's a word problem that involves using division to solve:
Problem:
Sara is planning a road trip across multiple cities. She has a table of distances between different cities. The table shows that the total distance between City A and City B is 320 miles, and the total distance between City B and City C is 160 miles. Sara wants to find out the distance between City A and City C. Can you help Sara?
Solution:
To find the distance between City A and City C, we need to subtract the distance between City B and City C from the total distance between City A and City B.
Distance between City A and City C = Total distance between City A and City B - Distance between City B and City C
Distance between City A and City C = 320 miles - 160 miles
Using subtraction, we find that the distance between City A and City C is 160 miles.
So, the solution is that the distance between City A and City C is 160 miles.
Word Problem: The Table Tennis Tournament:
At a local table tennis tournament, there are 48 players competing. The manager of the tournament wants to organize the matches in a fair and efficient manner. The tournament is being held in a round-robin style, meaning each player will play against every other player exactly once.
To accomplish this, the manager plans to arrange the tables in rows and columns, with each player sitting at a table. The number of rows and columns will be equal, and every table will have the same number of players.
Question: How many players should be seated at each table to ensure that each player competes against every other player exactly once?
Solution:
To solve this problem, we need to divide the total number of players by the number of tables (rows or columns) to ensure that each table has an equal number of players.
Total number of players: 48
Number of tables: x
To find the number of players at each table, we divide the total number of players by the number of tables:
48 ÷ x = x (since each table has an equal number of players)
Simplifying the equation:
48 = x^2
Taking the square root of both sides:
√48 = x
x ≈ 6.93
Therefore, each table should have approximately 7 players to ensure that each player competes against every other player exactly once. However, since we cannot have a fractional number of players at a table, we would round down our result to the nearest whole number. So, each table should have 6 players.