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Two water-squash mixtures, the first with a water-to-squash ratio of 5 : 1 and the latter with a ratio of 3 : 1 are blended in the ratio 3 : 2. What is the final water : squash ratio in the blend?
- a)5 : 3
- b)6 : 1
- c)4 : 1
- d)10 : 9
Correct answer is option 'C'. Can you explain this answer?
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Two water-squash mixtures, the first with a water-to-squash ratio of 5...
The first with a water-to-squash ratio of 5 : 1,
The Second with a water-to-squash ratio of 3 : 1,
They are blended in the ratio 3 : 2,
⇒ First mixture - W : S = 3/5 × 5/6 : 3/5 × 1/6 = 1/2 : 1/10
⇒ Second mixture - W : S = 2/5 × 3/4 : 2/5 × 1/4 = 3/10 : 1: 10
∴ Required ratio = (1/2 + 3/10) : (1/10 + 3/10) = 4 : 1
The Second with a water-to-squash ratio of 3 : 1,
They are blended in the ratio 3 : 2,
⇒ First mixture - W : S = 3/5 × 5/6 : 3/5 × 1/6 = 1/2 : 1/10
⇒ Second mixture - W : S = 2/5 × 3/4 : 2/5 × 1/4 = 3/10 : 1: 10
∴ Required ratio = (1/2 + 3/10) : (1/10 + 3/10) = 4 : 1
Most Upvoted Answer
Two water-squash mixtures, the first with a water-to-squash ratio of 5...
Given Data:
- Water-to-squash ratio in the first mixture = 5 : 1
- Water-to-squash ratio in the second mixture = 3 : 1
- Blending ratio = 3 : 2
Calculating Total Water and Squash in Blended Mixture:
- Let the quantity of the first mixture be 5x units of water and x units of squash.
- Let the quantity of the second mixture be 3y units of water and y units of squash.
- According to the blending ratio, the total water in the blended mixture = 3(5x) + 2(3y) = 15x + 6y
- The total squash in the blended mixture = 3(x) + 2(y) = 3x + 2y
Calculating Final Water-to-Squash Ratio:
- From the given data, we know that the final water-to-squash ratio in the blend is 15x + 6y : 3x + 2y
- To find the ratio, we need to simplify the expression:
- (15x + 6y) : (3x + 2y)
- Dividing all terms by the greatest common factor, which is 3:
- (5x + 2y) : (x + 2y)
- (5 + 2) : (1 + 2)
- 7 : 3
Conclusion:
- Therefore, the final water-to-squash ratio in the blended mixture is 7 : 3, which is equivalent to 4 : 1.
- Hence, the correct answer is option 'C' - 4 : 1.
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Two water-squash mixtures, the first with a water-to-squash ratio of 5 : 1 and the latter with a ratio of 3 : 1 are blended in the ratio 3 : 2. What is the final water : squash ratio in the blend?a)5 : 3b)6 : 1c)4 : 1d)10 : 9Correct answer is option 'C'. Can you explain this answer?
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