This is the question, but i get the wrong answer.
In a theatre, 1/5 of the audience were under the age of 50 and 1/4 of the audience were over 75. What fraction of the whole audience were between 50 and 75 inclusive.
I simply used 1 - 1/5 - 1/4 = 11/20
but the correct answer should be 9/20...
why???
1/5 + 1/4 = 4/20 + 5/20 = 9/20 is over 50 or over 75
1 - 9/20 = 11/20 is between 50 and 75.
I got the same answer that you did.
Is it possible that the "correct" answer is wrong?
Please check back to see if a math tutor can shed some light on this answer.
1/5 + x + 1/4 = 1
multiply by 20
4 + 20x + 5 = 20
20x = 9
x = 9/20
there seems to be an error in Reiny's calculation.
4 + 20x + 5 = 20
20x = 20 - 4 - 5 = 11
20x ≠ 9
x = 11/20
I agree with Ms. Sue.
Yes, I am wrong.
Geesh, can't even subract 20 - 9 , lol
time for a nap.
To find the fraction of the audience between the ages of 50 and 75, we need to subtract the fractions of those who are younger than 50 and older than 75 from the whole.
Let's break it down step by step:
1. The fraction of the audience under the age of 50 is given to be 1/5.
2. The fraction of the audience over the age of 75 is given to be 1/4.
To find the fraction between 50 and 75, we start with the whole audience (1) and subtract the fractions of those who are younger than 50 (1/5) and older than 75 (1/4).
So the equation would be:
1 - 1/5 - 1/4 = ?
To solve this, we need to find a common denominator. The least common denominator between 5 and 4 is 20:
1 * 20 - 1/5 * 20 - 1/4 * 20 = 20/20 - 4/20 - 5/20 = (20 - 4 - 5) / 20 = 11/20
After performing the calculation, we get 11/20 as the fraction between 50 and 75.
So, based on the question you provided, 11/20 is the correct answer. If the answer given to you was 9/20, there might be additional information or potential errors within the question or the way it was presented. Double-checking the problem and the given information could help identify any discrepancies.