Question

In a museum, the ratio of adults to children is 6 to 7. If there are 104 people in the museum, how many children are there?

Answer 1

x=adults
y=children
$\frac{x}{y}=\frac{6}{7}=\ \textgreater \ x=\frac{6y}{7}\\ x+y=104\\ \frac{6y}{7}+y=104\\ 6y+7y=728\\ 13y=728=\ \textgreater \ y=56$