Question

On a particular day in a restaurant, it is observed that $\frac{2}{7}$ of the total people are children. If there are 110 adults, then calculate the total number people in the restaurant.

• A. 385
• B. 196
• C. 252
• D. 154

Answer 1

The correct option is D 154

Given:
$\frac{2}{7}$ of the total people are children.

Therefore, fraction of adults in the restaurant
$=1–\frac{2}{7}$
$=\frac{7–2}{7}$
$=\frac{5}{7}$

As there are 110 adults, we can say that $\frac{5}{7}$ of the total number of people are adults.
$\text{Total number of people}\times \frac{5}{7}=110$

$\text{Multiplying both sides by}\frac{7}{5}$
$\text{Total number of people}\times \frac{5}{7}\times \frac{7}{5}=110\times \frac{7}{5}$
$\text{Total number of people}=154$
Hence, there are a total of 154 people in the restaurant.