5 is 4 of what number
Understand the Problem
The question is asking to find a number where 5 represents 4 parts of that number. This involves setting up a basic equation to solve for the unknown number.
Answer
The unknown number is \( 5 \).
Answer for screen readers
The unknown number is ( 5 ).
Steps to Solve
- Set up the equation
Let the unknown number be represented by $x$. Since 5 represents 4 parts of that number, we can express this relationship as: $$ 4 \text{ parts} = 5 $$ This implies that each part equals ( \frac{5}{4} ).
- Determine the total number of parts
If 5 represents 4 parts, this means the total number of parts in the number is 4. We need to find the value of the whole number (the total parts).
- Calculate the total number
Now, if each part is ( \frac{5}{4} ), the total number ( x ) can be found by multiplying each part by the total number of parts. We use the equation: $$ x = \text{Number of parts} \times \text{Value of each part} $$ Thus, $$ x = 4 \times \frac{5}{4} $$
- Final calculation
Now, simplify the equation: $$ x = 4 \times \frac{5}{4} = 5 $$
The unknown number is ( 5 ).
More Information
In this problem, we determined that if 5 constitutes 4 equal parts, that means the total number itself is 5. This demonstrates a basic proportional relationship and showcases how parts relate to a whole.
Tips
One common mistake is misunderstanding the relationship between parts and the whole, leading to incorrect assumptions about how to set up the equation. Always make sure to clearly define the parts in relation to the whole number.
