Question
the following problems. Draw tape diagrams to help you solve. Identify if the group size
Dups is unknown.
72 cars were parked in a parking garage. The same number of cars was parked on each
ere 4 floors, how many cars were parked on each floor?
Dups is unknown.
72 cars were parked in a parking garage. The same number of cars was parked on each
ere 4 floors, how many cars were parked on each floor?
Ask by Gross Warren. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 18 cars parked on each floor.
Solution
To solve the problem, we need to determine how many cars were parked on each floor of the parking garage. Here are the known conditions:
- Total number of cars parked:
- Number of floors:
- The number of cars parked on each floor is the same.
Step-by-Step Solution
-
Identify the Unknown:
- We need to find the number of cars parked on each floor, which we can denote as
.
- We need to find the number of cars parked on each floor, which we can denote as
-
Set Up the Equation:
- Since there are 4 floors and the same number of cars is parked on each floor, we can express the total number of cars as:
-
Solve for
: - To find
, we divide both sides of the equation by 4:
- To find
-
Calculate:
- Performing the division:
Conclusion
Thus, the number of cars parked on each floor is
.
Tape Diagram Representation
To visualize this with a tape diagram, you can imagine a long rectangle divided into 4 equal parts, each representing a floor. Each part would be labeled with the number
, and the total length of the tape would represent the total of
cars.
- Tape Diagram:
|----|----|----|----|
| 18 | 18 | 18 | 18 |
|----|----|----|----|
Total: 72 cars
This diagram helps to illustrate that the total number of cars is made up of 4 equal groups of 18 cars each.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To visualize this problem with a tape diagram, you can draw 4 equal sections representing the 4 floors of the parking garage. Each section should be labeled as
since the number of cars on each floor is unknown. You can also label the entire length as 72, showcasing that all four sections together equal the total number of cars parked. This makes it clear that you need to divide 72 by 4 to find
.
In this case, the unknown group size is the number of cars on each floor. By dividing 72 by the 4 floors, you’ll quickly find that each floor has 18 cars parked. So remember, drawing these tape diagrams isn’t just for math homework; they’re great tools for visualizing and organizing information in a fun and manageable way!