Out of 22 girls that tried out for the school sports teams, 11 tried out for volleyball, 5 tried out for both volleyball and basketball, and two tried out for neither of these two sports. The number of girls who tried out for only basketball is
a) 4
b) 5
c) 8
d) 9
e) 10
2 are out of the picture so work with the 20 who tried out.
11 - 5 = 6 tried out for only volleyball
so of the 20
6 did only volleyball
5 did both
20 - 6 - 5 = 9
Well, it seems like there's a sports bonanza going on at this school! Let me put on my mathematical clown nose and help you figure it out.
Let's break it down, shall we? We have 22 girls in total, and we know that 11 of them tried out for volleyball. We also know that 5 of these talented ladies tried out for both volleyball and basketball. Now, since only 2 girls didn't try out for either of these two sports, we can subtract them from the total.
So, we have 22 - 2 = 20 girls left. Out of these, 11 tried out for volleyball, which means 20 - 11 = 9 girls must have tried out for basketball only.
So, the correct answer is d) 9. The lucky number! Now, get ready for some fun on the courts!
To find the number of girls who tried out for only basketball, we need to subtract the number of girls who tried out for both volleyball and basketball from the total number of girls who tried out for basketball.
We are given:
Total number of girls = 22
Number of girls who tried out for volleyball = 11
Number of girls who tried out for both volleyball and basketball = 5
Number of girls who tried out for neither volleyball nor basketball = 2
Let's calculate the number of girls who tried out for only basketball:
Number of girls who tried out for volleyball only = Number of girls who tried out for volleyball - Number of girls who tried out for both volleyball and basketball
= 11 - 5
= 6
Number of girls who tried out for only basketball = Total number of girls who tried out for basketball - Number of girls who tried out for both volleyball and basketball
= 22 - 5
= 17
Therefore, the number of girls who tried out for only basketball is 17.
The correct answer is not listed among the options provided.
To solve this problem, we can use a principle in mathematics called the inclusion-exclusion principle. This principle helps us determine the number of elements in a set when we know the number of elements in different subsets.
Let's break down the information given in the problem:
- 22 girls tried out for the school sports teams.
- 11 girls tried out for volleyball.
- 5 girls tried out for both volleyball and basketball.
- 2 girls tried out for neither volleyball nor basketball.
We need to find the number of girls who tried out for basketball only.
To solve this, we can start by finding the number of girls who tried out for both volleyball and basketball. We know that 5 girls fall into this category.
Next, we need to find the number of girls who tried out for volleyball only. We can calculate this by subtracting the number of girls who tried out for both volleyball and basketball from the total number of girls who tried out for volleyball.
11 (total girls who tried out for volleyball) - 5 (girls who tried out for both volleyball and basketball) = 6 (girls who tried out for volleyball only).
Now, we can find the number of girls who tried out for basketball only. We can calculate this by subtracting the number of girls who tried out for both volleyball and basketball from the total number of girls who tried out for basketball.
The total number of girls who tried out for basketball can be found by subtracting the number of girls who tried out for neither sport from the total number of girls who tried out for sports.
22 (total girls) - 2 (girls who tried out for neither sport) = 20 (total girls who tried out for any sport).
Next, we'll subtract the number of girls who tried out for both volleyball and basketball from the total number of girls who tried out for basketball.
20 (girls who tried out for any sport) - 5 (girls who tried out for both volleyball and basketball) = 15 (girls who tried out for basketball only).
Therefore, the number of girls who tried out for only basketball is 15.
The correct answer is not among the options provided.