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In a mixture of 165 litres, the ratio of liquids X and Y is 6 ∶ 5. If 5 litres of liquid Y is added in the mixture, then what is the ratio of X and Y in the new mixture?
- a)10 ∶ 9
- b)8 ∶ 7
- c)9 ∶ 8
- d)5 ∶ 4
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a mixture of 165 litres, the ratio of liquids X and Y is 6 5. If 5...
GIVEN:
Ratio of X and Y in 165 litres of mixture = 6 ∶ 5
FORMULA USED:
Ratio of X and Y in new mixture = Quantity of liquid X in new mixture : Quantity of liquid Y in new mixture
CALCULATION:
Quantity of liquid Y in 165 litres = (5/11) × 165 = 75 litres
When 5 litres of liquid Y is added,
Quantity of new mixture = 165 + 5 = 170 litres
Quantity of liquid Y in new mixture = 75 + 5 = 80 litres
Quantity of liquid X in new mixture = 170 – 80 = 90 litres
∴ Ratio of X and Y in new mixture = 90 ∶ 80 = 9 ∶ 8
Most Upvoted Answer
In a mixture of 165 litres, the ratio of liquids X and Y is 6 5. If 5...
Given:
- Total mixture = 165 litres
- Ratio of liquids X and Y = 6:5
To Find:
- Ratio of X and Y in the new mixture after adding 5 litres of liquid Y
Solution:
Step 1: Calculating the initial quantities of X and Y
- Let the quantity of liquid X in the mixture be 6x litres
- Let the quantity of liquid Y in the mixture be 5x litres
Step 2: Calculating the value of x
- Since the total mixture is 165 litres, the sum of the quantities of X and Y should be equal to 165.
- Therefore, 6x + 5x = 165
- Simplifying the equation, we get 11x = 165
- Dividing both sides by 11, x = 15
Step 3: Calculating the initial quantities of X and Y
- Quantity of X = 6x = 6 * 15 = 90 litres
- Quantity of Y = 5x = 5 * 15 = 75 litres
Step 4: Adding 5 litres of liquid Y in the mixture
- After adding 5 litres of liquid Y, the total quantity of Y becomes 75 + 5 = 80 litres.
Step 5: Calculating the ratio of X and Y in the new mixture
- The new ratio of X and Y becomes 90:80, which can be simplified by dividing both sides by 10.
- Dividing 90 by 10, we get 9.
- Dividing 80 by 10, we get 8.
- Therefore, the ratio of X and Y in the new mixture is 9:8.
Hence, the correct answer is option C) 9:8.
- Total mixture = 165 litres
- Ratio of liquids X and Y = 6:5
To Find:
- Ratio of X and Y in the new mixture after adding 5 litres of liquid Y
Solution:
Step 1: Calculating the initial quantities of X and Y
- Let the quantity of liquid X in the mixture be 6x litres
- Let the quantity of liquid Y in the mixture be 5x litres
Step 2: Calculating the value of x
- Since the total mixture is 165 litres, the sum of the quantities of X and Y should be equal to 165.
- Therefore, 6x + 5x = 165
- Simplifying the equation, we get 11x = 165
- Dividing both sides by 11, x = 15
Step 3: Calculating the initial quantities of X and Y
- Quantity of X = 6x = 6 * 15 = 90 litres
- Quantity of Y = 5x = 5 * 15 = 75 litres
Step 4: Adding 5 litres of liquid Y in the mixture
- After adding 5 litres of liquid Y, the total quantity of Y becomes 75 + 5 = 80 litres.
Step 5: Calculating the ratio of X and Y in the new mixture
- The new ratio of X and Y becomes 90:80, which can be simplified by dividing both sides by 10.
- Dividing 90 by 10, we get 9.
- Dividing 80 by 10, we get 8.
- Therefore, the ratio of X and Y in the new mixture is 9:8.
Hence, the correct answer is option C) 9:8.
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In a mixture of 165 litres, the ratio of liquids X and Y is 6 5. If 5 litres of liquid Y is added in the mixture, then what is the ratio of X and Y in the new mixture?a)10 9b)8 7c)9 8d)5 4Correct answer is option 'C'. Can you explain this answer?
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