Answer:
if the question specifically says people then the amount of children are 54.
if the question specifically says the amount of adults in the park compared to the children when there are 216 adults, then the answer is 72.
Explanation:
children and adults
so we know that this is a scale factor question because there is a ratio involved . the ratio is 9 to 3 . so the next ratio answer is 216 to what ?
how do you get from 9 to 216 ? the answer is that you multiply by 216 / 9 . this is a form of math short hand if you did not know already . to get from y to x, you multiply y by x/y.
so basically that means that you multiply 9 by 216 / 9 to get to 216 . that means that the scale factor is 216 / 9 . so you will want to multiply three by 216 / 9 because 216 / 9 is the scale factor .
216 / 9 is equal to 24 . now multiplying the scale factor by 3 is equal to 72 . therefore there are 72 children compared to 216 adults.
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children and people
if the question is asking specifically people not adults then instead you will want to add nine with three to get the total amount of people . 9 + 3 = 12 so the new ratio will be 12 people to three children . so with the same idea in mind 12 to 3 and 216 to what? to get from 12 to 216 you need to multiply by 216 / 12 thus 216 / 12 is the scale factor in this situation. 216 / 12 = 18 so the scale factor here is 18 so you need to multiply 18 by 3 to get the total amount of children there compared to the total amount of people . the total amount of children there are 54 .