Bikes, Trikes and more

At Brittany's Bike shop, she rents all kinds of cycles: unicycles, tandems, regular bikes, and even tricycles. She parks all the cycles in front of her shop with a helmet for each rider strapped to the cycles. This morning Brittany counted 57 Helmets and 115 wheels. She knows she an egual number of unicycles and tandems. She also knows that she has 32 regular bikes. How many unicycles, tandems and trikes does she have?

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4,4,13

To find out how many unicycles, tandems, and tricycles Brittany has, let's break down the information we have step by step:

1. We know that Brittany has 57 helmets. Each cycle has one helmet strapped to it, so this gives us a total count of the cycles.
- Since unicycles, tandems, regular bikes, and tricycles all have helmets, the total number of cycles is equal to the number of helmets, i.e., 57.

2. We know that Brittany has 115 wheels in total.
- Each regular bike has 2 wheels, so the number of regular bikes can be calculated by dividing the number of wheels by 2.
- 115 wheels รท 2 wheels per regular bike = 57.5 regular bikes
- Since we can't have half of a bike, we know that she has 57 regular bikes.

3. We are given that the number of unicycles and tandems is equal.
- Let's represent the number of unicycles as "U" and the number of tandems as "T."
- Therefore, the total number of unicycles and tandems is U + T.

4. We are informed that there are 32 regular bikes.
- We already know that there are 57 regular bikes, so U + T + 32 = 57.

Now, we can solve the equation and find the values of U and T:

U + T + 32 = 57

Subtracting 32 from both sides:

U + T = 57 - 32
U + T = 25

Since we know that the total number of cycles is equal to the number of helmets (57), we can also express this as:

U + T + 57 = 57

Substituting U + T with 25, we get:

25 + 57 = 57

25 + 57 is not equal to 57, so there must be a mistake in the given information or calculation. Please double-check the facts provided to get an accurate solution.