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If 1 cup of water is added to a 5-cup mixture that is 2/3 salt and 1/3 water, what percent of the 6-cup mixture is salt?
- a)20%
- b)25%
- c)33.33%
- d)55.56%
- e)66.67%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If 1 cup of water is added to a 5-cup mixture that is 2/3salt and 1/3w...
To solve this problem, we need to calculate the amount of salt in the 6-cup mixture after adding 1 cup of water.
The initial mixture is composed of 2/3 salt and 1/3 water. Since we have a 5-cup mixture, we can calculate the amount of salt and water in it.
Amount of salt in the 5-cup mixture = (2/3) * 5 cups = 10/3 cups
Amount of water in the 5-cup mixture = (1/3) * 5 cups = 5/3 cups
Amount of water in the 5-cup mixture = (1/3) * 5 cups = 5/3 cups
When we add 1 cup of water to the mixture, the total volume becomes 6 cups. The amount of water in the new mixture will be:
Amount of water in the 6-cup mixture = 5/3 cups + 1 cup = 8/3 cups
To find the amount of salt in the 6-cup mixture, we subtract the amount of water from the total volume:
Amount of salt in the 6-cup mixture = 6 cups - 8/3 cups = 18/3 - 8/3 = 10/3 cups
Finally, we can calculate the percentage of salt in the 6-cup mixture by dividing the amount of salt by the total volume and multiplying by 100:
Percentage of salt in the 6-cup mixture = (10/3 cups / 6 cups) * 100% = (10/18) * 100% ≈ 55.56%
Therefore, the correct answer is option d) 55.56%.
Most Upvoted Answer
If 1 cup of water is added to a 5-cup mixture that is 2/3salt and 1/3w...
Understanding the Mixture
To solve this problem, we first need to analyze the initial 5-cup mixture. The composition is given as 2/3 salt and 1/3 water.
Calculate the Amount of Salt and Water in the Mixture
- Total volume of the mixture = 5 cups
- Volume of salt = (2/3) * 5 = 3.33 cups
- Volume of water = (1/3) * 5 = 1.67 cups
Add Water to the Mixture
Next, we add 1 cup of water to the existing mixture.
- New volume of water = 1.67 cups + 1 cup = 2.67 cups
- Total volume of the new mixture = 5 cups + 1 cup = 6 cups
Calculate the Total Salt in the New Mixture
- The amount of salt remains unchanged at 3.33 cups.
Calculate the Percentage of Salt in the New Mixture
To find the percentage of salt in the new 6-cup mixture, use the formula:
\[ \text{Percentage of Salt} = \left( \frac{\text{Volume of Salt}}{\text{Total Volume}} \right) \times 100 \]
- Volume of salt = 3.33 cups
- Total volume = 6 cups
Plugging in the values:
\[ \text{Percentage of Salt} = \left( \frac{3.33}{6} \right) \times 100 \approx 55.56\% \]
Conclusion
Thus, the percentage of salt in the 6-cup mixture is approximately 55.56%, confirming that the correct answer is option 'D'.
To solve this problem, we first need to analyze the initial 5-cup mixture. The composition is given as 2/3 salt and 1/3 water.
Calculate the Amount of Salt and Water in the Mixture
- Total volume of the mixture = 5 cups
- Volume of salt = (2/3) * 5 = 3.33 cups
- Volume of water = (1/3) * 5 = 1.67 cups
Add Water to the Mixture
Next, we add 1 cup of water to the existing mixture.
- New volume of water = 1.67 cups + 1 cup = 2.67 cups
- Total volume of the new mixture = 5 cups + 1 cup = 6 cups
Calculate the Total Salt in the New Mixture
- The amount of salt remains unchanged at 3.33 cups.
Calculate the Percentage of Salt in the New Mixture
To find the percentage of salt in the new 6-cup mixture, use the formula:
\[ \text{Percentage of Salt} = \left( \frac{\text{Volume of Salt}}{\text{Total Volume}} \right) \times 100 \]
- Volume of salt = 3.33 cups
- Total volume = 6 cups
Plugging in the values:
\[ \text{Percentage of Salt} = \left( \frac{3.33}{6} \right) \times 100 \approx 55.56\% \]
Conclusion
Thus, the percentage of salt in the 6-cup mixture is approximately 55.56%, confirming that the correct answer is option 'D'.
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Community Answer
If 1 cup of water is added to a 5-cup mixture that is 2/3salt and 1/3w...
To solve this problem, we need to calculate the amount of salt in the 6-cup mixture after adding 1 cup of water.
The initial mixture is composed of 2/3 salt and 1/3 water. Since we have a 5-cup mixture, we can calculate the amount of salt and water in it.
Amount of salt in the 5-cup mixture = (2/3) * 5 cups = 10/3 cups
Amount of water in the 5-cup mixture = (1/3) * 5 cups = 5/3 cups
Amount of water in the 5-cup mixture = (1/3) * 5 cups = 5/3 cups
When we add 1 cup of water to the mixture, the total volume becomes 6 cups. The amount of water in the new mixture will be:
Amount of water in the 6-cup mixture = 5/3 cups + 1 cup = 8/3 cups
To find the amount of salt in the 6-cup mixture, we subtract the amount of water from the total volume:
Amount of salt in the 6-cup mixture = 6 cups - 8/3 cups = 18/3 - 8/3 = 10/3 cups
Finally, we can calculate the percentage of salt in the 6-cup mixture by dividing the amount of salt by the total volume and multiplying by 100:
Percentage of salt in the 6-cup mixture = (10/3 cups / 6 cups) * 100% = (10/18) * 100% ≈ 55.56%
Therefore, the correct answer is option d) 55.56%.
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Question Description
If 1 cup of water is added to a 5-cup mixture that is 2/3salt and 1/3water, what percent of the 6-cup mixture is salt?a)20%b)25%c)33.33%d)55.56%e)66.67%Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If 1 cup of water is added to a 5-cup mixture that is 2/3salt and 1/3water, what percent of the 6-cup mixture is salt?a)20%b)25%c)33.33%d)55.56%e)66.67%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 1 cup of water is added to a 5-cup mixture that is 2/3salt and 1/3water, what percent of the 6-cup mixture is salt?a)20%b)25%c)33.33%d)55.56%e)66.67%Correct answer is option 'D'. Can you explain this answer?.
If 1 cup of water is added to a 5-cup mixture that is 2/3salt and 1/3water, what percent of the 6-cup mixture is salt?a)20%b)25%c)33.33%d)55.56%e)66.67%Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If 1 cup of water is added to a 5-cup mixture that is 2/3salt and 1/3water, what percent of the 6-cup mixture is salt?a)20%b)25%c)33.33%d)55.56%e)66.67%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 1 cup of water is added to a 5-cup mixture that is 2/3salt and 1/3water, what percent of the 6-cup mixture is salt?a)20%b)25%c)33.33%d)55.56%e)66.67%Correct answer is option 'D'. Can you explain this answer?.
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