In a class of 40 students and 5 teachers, each student got sweets that are 15% of the total number of students and each teacher got sweets that are 20% of the total number of students.How many sweets were there?

Options

A. 280
B. 240
C. 320
D. 360

Answer

To solve the problem step by step, we need to calculate the total number of sweets distributed to both students and teachers.

### Step 1: Calculate the number of sweets each student receives.
- We know that each student receives 15% of the total number of students.
- The total number of students is 40.

**Calculation:**
\[ \text{Sweets per student} = 15\% \text{ of } 40 = \frac{15}{100} \times 40 = 6 \]

### Step 2: Calculate the total number of sweets given to all students.
- There are 40 students, and each student receives 6 sweets.

**Calculation:**
\[ \text{Total sweets for students} = 40 \times 6 = 240 \]

### Step 3: Calculate the number of sweets each teacher receives.
- Each teacher receives 20% of the total number of students (which is 40).

**Calculation:**
\[ \text{Sweets per teacher} = 20\% \text{ of } 40 = \frac{20}{100} \times 40 = 8 \]

### Step 4: Calculate the total number of sweets given to all teachers.
- There are 5 teachers, and each teacher receives 8 sweets.

**Calculation:**
\[ \text{Total sweets for teachers} = 5 \times 8 = 40 \]

### Step 5: Calculate the total number of sweets distributed.
- Now, we add the total sweets given to students and teachers.

**Calculation:**
\[ \text{Total sweets distributed} = \text{Total sweets for students} + \text{Total sweets for teachers} = 240 + 40 = 280 \]

### Final Answer:
The total number of sweets distributed is **280**.

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