Yumi Has 946 Raindrops To Grow Wheat Crops For Her Village. She Needs 22 Raindrops To Grow One Crop. Find How Many Crops Yumi Can Grow If She Uses All Her Raindrops.Which Equations Represent The Problem? Choose ALL The Correct Answers.A. $22 \times
Yumi's Raindrop Challenge: Growing Wheat Crops for Her Village
In a small village, Yumi has been tasked with growing wheat crops using the limited raindrops available. With 946 raindrops at her disposal, she needs to determine how many crops she can grow using all her raindrops. Each crop requires 22 raindrops, and Yumi wants to maximize her yield. In this article, we will explore the mathematical equations that represent this problem and help Yumi find the solution.
To solve this problem, we need to understand the relationship between the number of raindrops and the number of crops that can be grown. Let's denote the number of raindrops as R and the number of crops as C. We know that each crop requires 22 raindrops, so the total number of raindrops required to grow C crops is 22C. Since Yumi has 946 raindrops, we can set up the equation:
R = 22C
We want to find the value of C, which represents the number of crops that Yumi can grow using all her raindrops.
There are several equations that represent this problem. Let's examine each option:
A. 22 × C = 946
This equation represents the problem directly. It states that the total number of raindrops required to grow C crops is equal to the number of raindrops Yumi has, which is 946.
B. C = 946 ÷ 22
This equation represents the inverse relationship between the number of crops and the number of raindrops. It states that the number of crops that can be grown is equal to the total number of raindrops divided by the number of raindrops required to grow one crop.
C. R = 946, C = R ÷ 22
This equation represents the problem in a more general form. It states that the number of raindrops is equal to 946, and the number of crops is equal to the total number of raindrops divided by the number of raindrops required to grow one crop.
D. C = 946 - 22
This equation is incorrect, as it represents the difference between the total number of raindrops and the number of raindrops required to grow one crop, rather than the total number of crops that can be grown.
Now that we have identified the correct equations, let's solve for C. We can use any of the correct equations to find the value of C. Let's use equation A:
22 × C = 946
To solve for C, we can divide both sides of the equation by 22:
C = 946 ÷ 22
C = 43
Therefore, Yumi can grow 43 crops using all her raindrops.
In this article, we explored the mathematical equations that represent the problem of growing wheat crops using limited raindrops. We identified the correct equations and solved for the number of crops that Yumi can grow using all her raindrops. The correct equations are:
- 22 × C = 946
- C = 946 ÷ 22
- R = 946, C = R ÷ 22
We hope this article has provided a clear understanding of the mathematical concepts involved in solving this problem.
Yumi's Raindrop Challenge: Growing Wheat Crops for Her Village - Q&A
In our previous article, we explored the mathematical equations that represent the problem of growing wheat crops using limited raindrops. We identified the correct equations and solved for the number of crops that Yumi can grow using all her raindrops. In this article, we will answer some frequently asked questions related to this problem.
Q: What is the relationship between the number of raindrops and the number of crops that can be grown?
A: The number of raindrops required to grow one crop is 22. Therefore, the total number of raindrops required to grow C crops is 22C.
Q: How many crops can Yumi grow using all her raindrops?
A: To find the number of crops that Yumi can grow, we can use the equation 22 × C = 946. Dividing both sides of the equation by 22, we get C = 946 ÷ 22, which equals 43.
Q: What is the significance of the number 22 in this problem?
A: The number 22 represents the number of raindrops required to grow one crop. This is a critical piece of information that helps us determine the total number of crops that can be grown using a given number of raindrops.
Q: Can we use any equation to solve for the number of crops?
A: No, not all equations are correct. The correct equations are:
- 22 × C = 946
- C = 946 ÷ 22
- R = 946, C = R ÷ 22
The equation C = 946 - 22 is incorrect, as it represents the difference between the total number of raindrops and the number of raindrops required to grow one crop, rather than the total number of crops that can be grown.
Q: What is the difference between the total number of raindrops and the number of raindrops required to grow one crop?
A: The difference between the total number of raindrops and the number of raindrops required to grow one crop is 946 - 22 = 924. This represents the number of raindrops that are left over after growing one crop.
Q: Can we use the leftover raindrops to grow more crops?
A: Yes, we can use the leftover raindrops to grow more crops. However, we need to divide the leftover raindrops by 22 to find the number of additional crops that can be grown.
Q: How many additional crops can Yumi grow using the leftover raindrops?
A: To find the number of additional crops that Yumi can grow, we can divide the leftover raindrops by 22:
924 ÷ 22 = 42
Therefore, Yumi can grow 42 additional crops using the leftover raindrops.
In this article, we answered some frequently asked questions related to the problem of growing wheat crops using limited raindrops. We hope this article has provided a clear understanding of the mathematical concepts involved in solving this problem.