Question
Coach Kelly predicted 20 girls would try out for the school volleyball team. Her prediction was
lower than the actual number of players who tried out. How many players actually tried
out for the volleyball team?
Submit
out for the volleyball team?
Submit
Ask by Rogers Sullivan. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
25 players actually tried out for the volleyball team.
Solution
Let’s break down the problem step by step.
-
Understand the Relationship:
- Prediction by Coach Kelly: 20 girls.
- This prediction is 20% lower than the actual number of players who tried out.
-
Set Up the Equation:
- Let’s denote the actual number of players who tried out as
. - A 20% decrease from the actual number is the prediction:
- According to the problem:
- Let’s denote the actual number of players who tried out as
-
Solve for
: -
Conclusion:
- 25 players actually tried out for the volleyball team.
Answer:
25 players actually tried out for the volleyball team.
25 players actually tried out for the volleyball team.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
To find the actual number of players who tried out, we first recognize that if Coach Kelly’s prediction of 20 was 20% lower, then 20 represents 80% of the actual number of players. We can set up the equation:
Let
be the actual number of players. Then,
.
To find
, divide both sides by 0.8:
So, 25 players actually tried out for the volleyball team!
Now you know that when predictions go awry, it’s like a hidden treasure waiting to be discovered. Happy volleyball coaching!