40% of all high school students hate roller coasters; the rest love them. 20% of those students who love roller coasters own chinchillas. What percentage of students love roller coasters but do not own a chinchilla?

Question

40% of all high school students hate roller coasters; the rest love them. 20% of those students who love roller coasters own chinchillas. What percentage of students love roller coasters but do not own a chinchilla?

Filo · Accepted Answer

Since all the numbers in this problem are given in percentages, assign a grand total of

100

students. You know that

40

% of all high school students hate roller coasters, so fill in

40

for this total and

60

for the number of students who love roller coasters. You also know that

20

% of those students who love roller coasters own chinchillas. It does not say that

20

% of all students own chinchillas. Since

60

% of students love roller coasters,

20

% of

60

% own chinchillas. Therefore, fill in

12

for the students who both love roller coasters and own chinchillas. The other

48

roller coaster lovers do not own chinchillas.

	Love RCs	Do Not	Total
Chinchilla	$12$
No Chinch.	$48$
Total	$60$	$40$	$100$

Question Text	$40$ % of all high school students hate roller coasters; the rest love them. $20$ % of those students who love roller coasters own chinchillas. What percentage of students love roller coasters but do not own a chinchilla?
Answer Type	Text solution:1
Upvotes	150

$40$ % of all high school students hate roller coasters; the rest love them. $20$ % of those students who love roller coasters own chinchillas. What percentage of students love roller coasters but do not own a chinchilla?

Text solutionVerified

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