There are 1089 students in a school. One-ninth of the students wear exactly one glove. Half of the others do not wear any gloves. How many gloves are being used by the students?

Answer

To solve the problem step by step, we will break down the information given and calculate the number of gloves being used by the students.

### Step 1: Determine the total number of students
We know that the total number of students in the school is 1089.

### Step 2: Calculate the number of students who wear exactly one glove
According to the problem, one-ninth of the students wear exactly one glove. To find this number, we need to divide the total number of students by 9.

\[ \text{Number of students wearing one glove} = \frac{1089}{9} \]

### Step 3: Perform the division
Now, we will perform the division:

\[ 1089 \div 9 = 121 \]

So, 121 students wear exactly one glove.

### Step 4: Calculate the number of students who do not wear any gloves
The problem states that half of the remaining students do not wear any gloves. First, we need to find out how many students do not wear any gloves.

Total students = 1089
Students wearing one glove = 121

Now, we calculate the remaining students:

\[ \text{Remaining students} = 1089 - 121 = 968 \]

Now, half of these remaining students do not wear any gloves:

\[ \text{Students not wearing gloves} = \frac{968}{2} = 484 \]

### Step 5: Calculate the total number of gloves being used
Since only the 121 students are wearing gloves and each of them wears exactly one glove, the total number of gloves being used is simply the number of students wearing one glove.

\[ \text{Total gloves used} = 121 \]

### Final Answer
Thus, the total number of gloves being used by the students is **121**.

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