Mai's Water Bottle Had 24 Ounces In It. After She Drank X X X Ounces Of Water, There Were 10 Ounces Left. Select All The Equations That Represent This Situation.A) 24 ÷ 10 = X 24 \div 10 = X 24 ÷ 10 = X B) 24 + 10 = X 24 + 10 = X 24 + 10 = X C) 24 − 10 = X 24 - 10 = X 24 − 10 = X

Understanding the Relationship Between Mai's Water Bottle and the Amount of Water Consumed

In this scenario, we are presented with a situation where Mai's water bottle initially contains 24 ounces of water. After she drinks a certain amount of water, denoted as $x$ ounces, there are 10 ounces left in the bottle. To represent this situation mathematically, we need to establish an equation that accurately reflects the relationship between the initial amount of water, the amount consumed, and the remaining amount.

Analyzing the Options

Let's examine each of the given options to determine which ones accurately represent the situation.

A) $24 \div 10 = x$

This equation suggests that the amount of water Mai consumed ($x$) is equal to the initial amount of water (24 ounces) divided by the remaining amount (10 ounces). However, this equation does not accurately represent the situation, as it implies that the amount consumed is a result of dividing the initial amount by the remaining amount, rather than subtracting the remaining amount from the initial amount.

B) $24 + 10 = x$

This equation suggests that the amount of water Mai consumed ($x$) is equal to the sum of the initial amount of water (24 ounces) and the remaining amount (10 ounces). However, this equation does not accurately represent the situation, as it implies that the amount consumed is a result of adding the initial and remaining amounts, rather than subtracting the remaining amount from the initial amount.

C) $24 - 10 = x$

This equation suggests that the amount of water Mai consumed ($x$) is equal to the difference between the initial amount of water (24 ounces) and the remaining amount (10 ounces). This equation accurately represents the situation, as it implies that the amount consumed is a result of subtracting the remaining amount from the initial amount.

Conclusion

Based on the analysis of the given options, the correct equation that represents the situation is:

C) $24 - 10 = x$

This equation accurately reflects the relationship between the initial amount of water, the amount consumed, and the remaining amount. By subtracting the remaining amount (10 ounces) from the initial amount (24 ounces), we can determine the amount of water Mai consumed ($x$).

Additional Insights

To further understand the relationship between the initial amount of water, the amount consumed, and the remaining amount, let's consider the following:

• If Mai's water bottle initially contains 24 ounces of water and she drinks $x$ ounces, the remaining amount can be represented as $24 - x$.
• Since we know that the remaining amount is 10 ounces, we can set up the equation $24 - x = 10$.
• Solving for $x$, we get $x = 24 - 10$, which simplifies to $x = 14$.
• Therefore, Mai consumed 14 ounces of water.

By analyzing the situation and establishing the correct equation, we can determine the amount of water Mai consumed and understand the relationship between the initial amount of water, the amount consumed, and the remaining amount.
Frequently Asked Questions About Mai's Water Bottle

In the previous section, we explored the relationship between Mai's water bottle and the amount of water consumed. Now, let's address some frequently asked questions about this scenario.

Q: What is the initial amount of water in Mai's water bottle?

A: The initial amount of water in Mai's water bottle is 24 ounces.

Q: How much water is left in the bottle after Mai drinks x ounces?

A: After Mai drinks x ounces, there are 10 ounces left in the bottle.

Q: What is the equation that represents the situation?

A: The correct equation that represents the situation is $24 - 10 = x$, which simplifies to $x = 14$. This equation accurately reflects the relationship between the initial amount of water, the amount consumed, and the remaining amount.

Q: How do I determine the amount of water Mai consumed?

A: To determine the amount of water Mai consumed, you can subtract the remaining amount (10 ounces) from the initial amount (24 ounces). This will give you the amount of water Mai consumed, which is 14 ounces.

Q: Can I use the equation $24 \div 10 = x$ to determine the amount of water Mai consumed?

A: No, you cannot use the equation $24 \div 10 = x$ to determine the amount of water Mai consumed. This equation does not accurately represent the situation, as it implies that the amount consumed is a result of dividing the initial amount by the remaining amount, rather than subtracting the remaining amount from the initial amount.

Q: Can I use the equation $24 + 10 = x$ to determine the amount of water Mai consumed?

A: No, you cannot use the equation $24 + 10 = x$ to determine the amount of water Mai consumed. This equation does not accurately represent the situation, as it implies that the amount consumed is a result of adding the initial and remaining amounts, rather than subtracting the remaining amount from the initial amount.

Q: What is the relationship between the initial amount of water, the amount consumed, and the remaining amount?

A: The relationship between the initial amount of water, the amount consumed, and the remaining amount is represented by the equation $x = 24 - 10$, which simplifies to $x = 14$. This equation accurately reflects the relationship between the initial amount of water, the amount consumed, and the remaining amount.

Q: Can I use this scenario to practice solving equations?

A: Yes, you can use this scenario to practice solving equations. By analyzing the situation and establishing the correct equation, you can practice solving for the amount of water Mai consumed and understand the relationship between the initial amount of water, the amount consumed, and the remaining amount.

Conclusion

In this article, we addressed some frequently asked questions about Mai's water bottle. We explored the relationship between the initial amount of water, the amount consumed, and the remaining amount, and established the correct equation that represents the situation. By practicing solving equations and analyzing the scenario, you can improve your understanding of mathematical relationships and develop problem-solving skills.