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In a certain town, the ratio of the number of bicycles to cars is 3:2. If there

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Question: In a certain town, the ratio of the number of bicycles to cars is 3:2. If there are 120 bicycles, how many cars are there?

Options:

  1. 80
  2. 60
  3. 90
  4. 100

Correct Answer: 80

Solution: 

Let the number of cars be x. According to the ratio, 3/2 = 120/x. Cross-multiplying gives 3x = 240, so x = 80.

In a certain town, the ratio of the number of bicycles to cars is 3:2. If there

Practice Questions

Q1
In a certain town, the ratio of the number of bicycles to cars is 3:2. If there are 120 bicycles, how many cars are there?
  1. 80
  2. 60
  3. 90
  4. 100

Questions & Step-by-Step Solutions

In a certain town, the ratio of the number of bicycles to cars is 3:2. If there are 120 bicycles, how many cars are there?
  • Step 1: Understand the ratio of bicycles to cars, which is 3:2.
  • Step 2: Let the number of cars be represented by 'x'.
  • Step 3: Set up the ratio using the number of bicycles: 3/2 = 120/x.
  • Step 4: Cross-multiply to eliminate the fraction: 3 * x = 2 * 120.
  • Step 5: Calculate the right side: 2 * 120 = 240, so now we have 3x = 240.
  • Step 6: Solve for x by dividing both sides by 3: x = 240 / 3.
  • Step 7: Calculate 240 divided by 3, which equals 80.
  • Step 8: Conclude that there are 80 cars in the town.
  • Ratios – Understanding and applying ratios to find unknown quantities based on given relationships.
  • Cross-Multiplication – Using cross-multiplication to solve equations derived from ratios.
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