Questions: ? groups of ? is equal to 9 2 3 4 5

Transcript text: ? groups of ? is equal to 9 2 3 4 5

Solution

Solution Steps

To solve the problem of determining how many groups of a certain number are equal to 9, we need to check each option (2, 3, 4, 5) to see if multiplying it by an integer results in 9. We will iterate through each number and check if there exists an integer that, when multiplied by the number, equals 9.

Step 1: Identify the Problem

We need to determine how many groups of a certain number from the given options (2, 3, 4, 5) can be multiplied to equal 9.

Step 2: Analyze Each Option

We check each option to see if there exists an integer \( n \) such that \( n \times \text{option} = 9 \).

For option 2: \( n \times 2 = 9 \) implies \( n = \frac{9}{2} = 4.5 \), which is not an integer.
For option 3: \( n \times 3 = 9 \) implies \( n = \frac{9}{3} = 3 \), which is an integer.
For option 4: \( n \times 4 = 9 \) implies \( n = \frac{9}{4} = 2.25 \), which is not an integer.
For option 5: \( n \times 5 = 9 \) implies \( n = \frac{9}{5} = 1.8 \), which is not an integer.

Step 3: Determine the Valid Option

The only option that results in an integer \( n \) is option 3, where \( n = 3 \).