College Algebra

Question

In a museum, the ratio of adults to children is 4 to 14. If there are 360 people in the museum, how many children are there?

Answer 1

Hello, thank you for taking the time to post your question!

A 4 to 14 adult to children ratio means that 14 / (4 + 14) = 14/18 = 7/9 of the people there are children. From there then you can take the total people of 360 and multiply by 7/9

360 x 7/9 = 280

Meaning that there are 280 children at the museum

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

A = number of adults

C = number of children

 

Given:

 

A/C = 4/14 = 2/7

A + C = 360

 

Solution:

 

A  = 360 - C

 

(360 - C)/C = 2/7

 

360 - C = (2/7)C

 

360 = (2/7 + 1)C = (9/7)C

 

C = (7/9)(360) = 280

A = 360 - 280 = 80

 

Test the answers:

 

A/C = 80/280 = 4/14  [good]

A + C = 80 + 280 = 360  [good]

 

 

Answer 3

For every group of 18 people, 4 of them are adults. So 360 divided by 18 is 20. So there are 20 equal groups, consisting of 4 adults and 14 children. 14x20 = 280

Answer 4

The ratio of children to total is 14 / 18

c : 360 :: 14 : 18

18c = (14)(360

 

Can you solve for c and answer?