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There are blue counters and black counters in a bag in the ratio blue counters are removed and the ratio becomes Work out how many black counters there are in the bag.black countersSubmit Answer
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Q. There are blue counters and black counters in a bag in the ratio blue counters are removed and the ratio becomes Work out how many black counters there are in the bag.black countersSubmit Answer
- Define Variables: Let's define the variables: initially, the ratio of blue to black counters is . This means for every blue counters, there is black counter.
- Calculate Blue Counters: If we let the number of black counters be , then the number of blue counters initially is .
- Set Up Equation: After removing blue counters, the new number of blue counters is . The ratio of blue to black counters then changes to :. So, we set up the equation based on the new ratio: .
- Cross-Multiply: Cross-multiplying to solve for , we get .
- Simplify Equation: Simplifying the equation: .
- Solve for b: Solving for , we subtract from both sides to get .
- Find b Value: Adding to both sides gives .
- Find b Value: Adding to both sides gives . Dividing both sides by , we find .
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