Question

2/9 of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?

Answer 1

Answer: There are 133 children in the restaurant.

Explanation:

Let the number of total children in the restaurant be x

Since we have given that

Number of adult people is given by

$\frac{2}{9}x$

So, the number of children be

$1-\frac{2x}{9}=\frac{7}{9}x$

So,

According to question,

$\frac{7x}{9}-\frac{2x}{9}=95\\\\\frac{5x}{9}=95\\\\x=\frac{95\times 9}{5}\\\\x=171$

Hence, there are 171 people in the restaurant.

Thus, number of children in the restaurant is given by

$\frac{7}{9}\times 171\\\\=19\times 7\\\\=133$

So, there are 133 children in the restaurant.

Answer 2

Step-by-step explanation:

5 units =95

1 unit =95÷5=19

7 units =7 multiply by 19=133

There are 133 children in the restaurant