Question

the ratio of children to adults is two to seven. there are 100 more adults than children. how many adults and children are in the restaurant?

Answer 1

Answer: There are 140 adults and 40 children.

Step-by-step explanation:

Let 2x = Number of children

7x = Number of adults.

As there are 100 more adults than children.

That means, $7x-2x = 100$

$\Rightarrow\ 5x=100\\\\\Rightarrow\ x=\dfrac{100}{5}\\\\\Rightarrow\ x=20$

Number of children =  2 (20)=40

Number of adults = 7(20) = 140

Hence, there are 140 adults and 40 children.