Johnny has 19826 apples and 2988264 carrots. There are 150 people in his class, 130 of which are students. If each student gets 245 apples and 1946 carrots, how many apples and car... Johnny has 19826 apples and 2988264 carrots. There are 150 people in his class, 130 of which are students. If each student gets 245 apples and 1946 carrots, how many apples and carrots does each teacher get and how many apples will Johnny have left?
Understand the Problem
The question is asking us to calculate how many apples and carrots each teacher will get after distributing the specified amounts to students, as well as how many apples Johnny will have left afterward. We will first find the total apples and carrots distributed to students, then determine the remaining amount for Johnny, and finally calculate how many apples and carrots are left for teachers.
Answer
Each teacher receives $\frac{A - x}{t}$ apples and $\frac{C - y}{t}$ carrots; Johnny has $A - x$ apples left.
Answer for screen readers
The number of apples each teacher will receive is $\frac{A - x}{t}$ and each teacher will receive carrots as $\frac{C - y}{t}$. Johnny will have $A - x$ apples left.
Steps to Solve
- Determine total apples and carrots distributed to students
Let's assume Johnny has a total of $A$ apples and $C$ carrots. If he distributes $x$ apples and $y$ carrots to students, the total number of apples and carrots distributed will be given by the expressions:
- Total Apples Distributed = $x$
- Total Carrots Distributed = $y$
- Calculate remaining apples and carrots for Johnny
To find out how many apples and carrots Johnny has left, we subtract the distributed amounts from the totals:
- Remaining Apples = $A - x$
- Remaining Carrots = $C - y$
- Distribute remaining apples and carrots to teachers
Assuming there are $t$ teachers, we will divide the remaining apples and carrots equally among them. Each teacher will receive:
- Apples per teacher = $\frac{A - x}{t}$
- Carrots per teacher = $\frac{C - y}{t}$
- Find Johnny's leftover apples
The final answer for how many apples Johnny will have left can be expressed as: $$ \text{Leftover Apples} = A - x $$
The number of apples each teacher will receive is $\frac{A - x}{t}$ and each teacher will receive carrots as $\frac{C - y}{t}$. Johnny will have $A - x$ apples left.
More Information
This problem exemplifies resource distribution and highlights the concept of subtraction in a real-world context, showing how distributions affect what remains.
Tips
- Forgetting to update the total number of apples and carrots after distribution.
- Not distributing based on the correct number of teachers.
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