In a family of six males and a few females the average monthly consumption of grain per head is 14 4...........

Quantitative Aptitude (MTS) Average

In a family of six males and a few females, the average monthly consumption of grain per head is 14.4 kg. If the average

monthly consumption per head is 20 kg in the case of males and 6 kg in the case of females, find the number of females in the

family?

This questions was previously asked in

SSC MTS 11th July 2022 Shift-1

To find the number of females in the family, let's analyze the statements and options:

- The family comprises six males and an unknown number of females.

- The average grain consumption per head for the entire family is 14.4 kg.

- Males consume 20 kg of grain each per month.

- Females consume 6 kg of grain each per month.

Let's solve for the number of females (let's call it \( f \)):

1. Total grain consumed by males = \( 6 \times 20 = 120 \) kg.

2. Total people in the family = \( 6 + f \).

3. Using the average consumption equation: \(\frac{120 + 6f}{6 + f} = 14.4 \).

4. Simplifying the equation: \(120 + 6f = 14.4(6 + f)\).

5. Solving gives us \(f = 4\).

Correct Answer: Option 1 - 4

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