In the universal set (U) reperesents all the students in a class.The set m represents the student who take (Music 3x).The set D represents the students who take (Drama 7+x).If 24 students take Music, calculate
The number of students who take BOTH music and drama.
The number of students who take drama ONLY.
Dont want the answers just want to know how to work out the problem.
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What do the 7+x and 3x represent?
In the universal set (U) reperesents all the students in a class.The set m represents the student who take (Music 3x).The set D represents the students who take (Drama 7+x).If 24 students take Music, calculate
The number of students who take BOTH music and drama.
The number of students who take drama ONLY.
To work out the problem, follow these steps:
1. Find the number of students who take both Music and Drama:
- Start by determining the number of students who take Music, i.e., set m.
- If the set m represents the students who take Music (3x) and there are 24 students in total, you need to solve the equation 3x = 24 to find the value of x. This will give you the number of students who take Music: m = 3x = 3(8) = 24.
- Similarly, if the set D represents the students who take Drama (7+x), you need to solve the equation 7+x = n, where n is the total number of students in the Drama set. You have not provided the value of n, so you'll have to determine that to find the number of students who take both Music and Drama.
2. Calculate the number of students who take Drama only:
- Subtract the number of students who take both Music and Drama from the total number of students who take Drama (D). Again, you haven't provided the value of n, so you'll have to determine that first.
By following these steps and obtaining the values of n and x, you can calculate the number of students who take both Music and Drama, as well as the number of students who take Drama only.