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The ratio of the number of blue and red balls in a bag is constant. When there were 68 red balls, the number of blue balls was 36. If the number of blue balls was 63, how many red balls should be there in the bag?
  • a)
    98
  • b)
    119
  • c)
    102
  • d)
    110
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The ratio of the number of blue and red balls in a bag is constant. Wh...
⇒ Here, k1/k2 = k3/k4, where k1 is the initial number of red balls, k2 is the initial number of blue balls, k3 is the new number of red balls and k4 is the new number of blue balls
⇒ 68/36 = k3/63
⇒ k3 = 119
∴There should be 119 red balls in the bag.
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Community Answer
The ratio of the number of blue and red balls in a bag is constant. Wh...
Given:
- The ratio of the number of blue and red balls in a bag is constant.
- When there were 68 red balls, the number of blue balls was 36.

To find:
- The number of red balls when there are 63 blue balls.

Solution:
Let's assume the constant ratio of blue to red balls is 'x'.

Using the given information:
- When there were 68 red balls, the number of blue balls was 36.
- This can be represented as 36/x = 68.
- Solving this equation, we find x = 68/36 = 17/9.

Calculating the number of red balls when there are 63 blue balls:
- We know that the ratio of blue to red balls is constant at 17/9.
- Let the number of red balls be 'r'.
- We can set up the equation (63/17) = (r/9) to represent the ratio.
- Solving this equation, we find r = (63*9)/17 = 33.

Therefore, when there are 63 blue balls, there should be 33 red balls in the bag.
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The ratio of the number of blue and red balls in a bag is constant. When there were 68 red balls, the number of blue balls was 36. If the number of blue balls was 63, how many red balls should be there in the bag?a)98b)119c)102d)110Correct answer is option 'B'. Can you explain this answer?
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The ratio of the number of blue and red balls in a bag is constant. When there were 68 red balls, the number of blue balls was 36. If the number of blue balls was 63, how many red balls should be there in the bag?a)98b)119c)102d)110Correct answer is option 'B'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about The ratio of the number of blue and red balls in a bag is constant. When there were 68 red balls, the number of blue balls was 36. If the number of blue balls was 63, how many red balls should be there in the bag?a)98b)119c)102d)110Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the number of blue and red balls in a bag is constant. When there were 68 red balls, the number of blue balls was 36. If the number of blue balls was 63, how many red balls should be there in the bag?a)98b)119c)102d)110Correct answer is option 'B'. Can you explain this answer?.
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