Last weekend, I went to play in the nearby park. It was real fun! I rode my new bicycle that Mom had gifted me on my birthday. On reaching the park, I saw that there were a total of 8 bicycles and tricycles. If the total number of wheels was 20, how many tricycles were there?
Let x = bikes and Y = trikes.
X + Y = 8
X = 8 - Y
2X + 3Y = 20
Substitute 8-Y for X.
2(8-Y) + 3Y = 20
16 - 2Y + 3Y = 20
Y = 4
I hope this helps. Thanks for asking.
To determine the number of tricycles, we need to use the given information that there were a total of 8 bicycles and tricycles and the total number of wheels was 20.
Let's assign variables to represent the number of bicycles (B) and the number of tricycles (T). We know that B + T = 8, and since each bicycle has 2 wheels and each tricycle has 3 wheels, the total number of wheels can be represented by the equation 2B + 3T = 20.
Now we can solve this system of equations to find the value of T, which represents the number of tricycles.
1. Start with the equation B + T = 8 and solve for B in terms of T by subtracting T from both sides:
B = 8 - T
2. Substitute this value of B into the second equation:
2(8 - T) + 3T = 20
3. Simplify and solve for T:
16 - 2T + 3T = 20
T + 16 = 20
T = 20 - 16
T = 4
Therefore, there were 4 tricycles in the park.