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Bill's Bike Rental rents bicycles and tricycles. In their lot, they have an assortment of bicycles and tricycles with a total of 65 wheels. If there are 5 more bicycles than tricycles, how many bicycles are in the lot?

A) 20
B) 22
C) 30
D) 32

Answer :

Final answer:

By setting up two equations, we found that there are 11 tricycles and, therefore, 16 bicycles in the lot, which was not one of the provided options. This might indicate a typo in the question's options.

Explanation:

Let's denote the number of bicycles as B and the number of tricycles as T. Since each bicycle has 2 wheels and each tricycle has 3 wheels, we can set up the following equations based on the given information:

  • 2B + 3T = 65 (total number of wheels)
  • B = T + 5 (5 more bicycles than tricycles)

Substitute the second equation into the first to solve for T:

2(T + 5) + 3T = 65

2T + 10 + 3T = 65

5T + 10 = 65

5T = 55

T = 11

We found that there are 11 tricycles. Now, use the second equation to solve for the number of bicycles:

B = 11 + 5

B = 16

Therefore, there are 16 bicycles and 11 tricycles in the lot. This was not one of the provided options, indicating a possible typo in the options provided.

Learn more about Solving Equations here:

https://brainly.com/question/17595716

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