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Answer :
- The equation representing the problem is $12p = 156$.
- Divide both sides of the equation by 12 to solve for $p$.
- Calculate the value of $p$ as $\frac{156}{12}$.
- The number of plants in each row is $\boxed{13}$.
### Explanation
1. Understanding the Problem
We are given that Jung planted 12 rows of pepper plants and harvested a total of 156 peppers. We need to find the equation that represents the number of plants, $p$, per row and then calculate the value of $p$.
2. Setting up the Equation
Since Jung planted 12 rows with $p$ plants in each row, the total number of plants is $12 \times p$, which can be written as $12p$. We know that the total number of peppers harvested is 156. Assuming each plant yields one pepper, we can set up the equation: $$12p = 156$$
3. Solving for p
Now, we need to solve for $p$. To do this, we divide both sides of the equation by 12:$$\frac{12p}{12} = \frac{156}{12}$$$$p = \frac{156}{12}$$
4. Calculating the Value of p
We perform the division to find the value of $p$:$$p = 13$$
5. Final Answer
Therefore, the equation to determine the number of plants per row is $12p = 156$, and the number of plants in each row is 13.
### Examples
Understanding how to set up and solve equations like this is useful in many real-life situations. For example, if you're planning a garden and know how many plants you want to grow in total and how many rows you have, you can use this type of equation to figure out how many plants to put in each row. Or, if you're distributing snacks equally among a group of friends, you can use a similar equation to determine how many snacks each person gets.
- Divide both sides of the equation by 12 to solve for $p$.
- Calculate the value of $p$ as $\frac{156}{12}$.
- The number of plants in each row is $\boxed{13}$.
### Explanation
1. Understanding the Problem
We are given that Jung planted 12 rows of pepper plants and harvested a total of 156 peppers. We need to find the equation that represents the number of plants, $p$, per row and then calculate the value of $p$.
2. Setting up the Equation
Since Jung planted 12 rows with $p$ plants in each row, the total number of plants is $12 \times p$, which can be written as $12p$. We know that the total number of peppers harvested is 156. Assuming each plant yields one pepper, we can set up the equation: $$12p = 156$$
3. Solving for p
Now, we need to solve for $p$. To do this, we divide both sides of the equation by 12:$$\frac{12p}{12} = \frac{156}{12}$$$$p = \frac{156}{12}$$
4. Calculating the Value of p
We perform the division to find the value of $p$:$$p = 13$$
5. Final Answer
Therefore, the equation to determine the number of plants per row is $12p = 156$, and the number of plants in each row is 13.
### Examples
Understanding how to set up and solve equations like this is useful in many real-life situations. For example, if you're planning a garden and know how many plants you want to grow in total and how many rows you have, you can use this type of equation to figure out how many plants to put in each row. Or, if you're distributing snacks equally among a group of friends, you can use a similar equation to determine how many snacks each person gets.
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