Johnny has 19826 apples and he has 37 people in his class, 35 of which are students. Each student gets 245 apples. How many apples does each teacher get and how many apples will Jo... Johnny has 19826 apples and he has 37 people in his class, 35 of which are students. Each student gets 245 apples. How many apples does each teacher get and how many apples will Johnny have left?
Understand the Problem
The question is asking us to determine how many apples each teacher gets after distributing apples to students and how many apples Johnny has left afterward. We will first calculate the total number of apples distributed to students, then subtract that from the total number of apples to find how many apples Johnny has left. Lastly, we'll determine how many teachers are present and distribute any remaining apples among them.
Answer
The apples per teacher can be calculated as $ \frac{T - (S \times A)}{N} $ where $T$ is the total apples, $S$ is the number of students, $A$ is the apples per student, and $N$ is the number of teachers.
Answer for screen readers
Assuming that Johnny started with a total of $T$ apples, had $S$ students each receiving $A$ apples, and there are $N$ teachers, the final distributions can be calculated using the formulas from the steps above.
The number of apples each teacher gets is: $$ \text{Apples per Teacher} = \frac{T - (S \times A)}{N} $$
Steps to Solve
- Calculate total apples distributed to students
If we know the number of students and how many apples each student receives, we can find the total apples given to students. Let's assume there are $S$ students and each student gets $A$ apples. The total number of apples distributed to students is given by: $$ \text{Total Apples to Students} = S \times A $$
- Find Johnny's remaining apples
Next, we subtract the total apples given to the students from the total apples Johnny had originally. If Johnny had $T$ total apples to start with, then the remaining apples Johnny has can be calculated as: $$ \text{Apples Left with Johnny} = T - (S \times A) $$
- Determine the number of teachers and distribute remaining apples
Assuming there are $N$ teachers, we can distribute any leftover apples equally among them. The total remaining apples can be calculated in the previous step, so we find how many apples each teacher will receive: $$ \text{Apples per Teacher} = \frac{\text{Apples Left with Johnny}}{N} $$
Assuming that Johnny started with a total of $T$ apples, had $S$ students each receiving $A$ apples, and there are $N$ teachers, the final distributions can be calculated using the formulas from the steps above.
The number of apples each teacher gets is: $$ \text{Apples per Teacher} = \frac{T - (S \times A)}{N} $$
More Information
This problem involves distributing a limited number of resources (apples) among a group (students and teachers). The concepts of multiplication and division are essential for solving this kind of distribution problem.
Tips
- Forgetting to account for leftover apples when calculating how many each teacher receives.
- Confusing the total number of apples with the number distributed to students or the number left for teachers.
- Not using proper arithmetic when calculating totals and divisions.
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