In a museum, the ratio of adults to children is 5 to 12. If there are 323 people in the museum, how many children are there?

Question

In a museum, the ratio of adults to children is 5 to 12. If there are 323 people in the museum, how many children are there?

Answer 1

Let x = number of children  Then, there are 323 - x adults

 

Set up the proportion  adults/children = adults/children

 

                                      5/12 = (323-x)/x

 

Cross multiply:  5x = 12(323-x)

 

                       5x = 3876 - 12x

 

                      17x = 3876

 

                         x = 228