A family of 6 members consumes 20 kg of wheat flour in a month. What will be the monthly consumption of wheat flour, if they are joined by four guests to stay with them for a month ?

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the monthly consumption of wheat flour per member.
Given that a family of 6 members consumes 20 kg of wheat flour in a month, we can find the consumption per member by dividing the total consumption by the number of members.

\[ \text{Consumption per member} = \frac{\text{Total consumption}}{\text{Number of members}} = \frac{20 \text{ kg}}{6} = \frac{10}{3} \text{ kg} \]

### Step 2: Calculate the total number of members after the guests arrive.
The family originally has 6 members, and they are joined by 4 guests. Therefore, the total number of members becomes:

\[ \text{Total members} = 6 + 4 = 10 \]

### Step 3: Calculate the total monthly consumption for the new total of members.
Now that we know each member consumes \(\frac{10}{3}\) kg of wheat flour, we can find the total consumption for 10 members.

\[ \text{Total consumption for 10 members} = \text{Consumption per member} \times \text{Total members} = \frac{10}{3} \text{ kg} \times 10 = \frac{100}{3} \text{ kg} \]

### Step 4: Convert the total consumption into a more understandable format.
To express \(\frac{100}{3}\) kg in a mixed number format:

\[ \frac{100}{3} = 33 \frac{1}{3} \text{ kg} \]

### Final Answer:
The monthly consumption of wheat flour for the family of 10 members, including the guests, will be \(33 \frac{1}{3}\) kg.

---