last weekend, I went to play the nearby park. It was real fun! I rode my new bicycle tat Mom had gifted me on my birthday. On reaching the park, I saw that there were a total of 15 bicycles and tricycles. if the total number of wheels was 35, how many tricycles are there?
let the number of bikes be x
then the number of trikes must be 15-x
solve
2x + 3(15-x) = 35
To find the number of tricycles in the park, we can use the concept of the number of wheels.
Let's assume the number of bicycles is 'x' and the number of tricycles is 'y'.
We know that each bicycle has two wheels, and each tricycle has three wheels.
So, the total number of wheels can be expressed as:
Total wheels from bicycles = 2x
Total wheels from tricycles = 3y
From the given information, we have:
Total number of bicycles and tricycles = 15 ---> x + y = 15 (Equation 1)
Total number of wheels = 35 ---> 2x + 3y = 35 (Equation 2)
To solve this system of equations, we can use substitution or elimination methods.
Let's solve it using the elimination method:
Multiply Equation 1 by 2, so that the coefficient of 'x' matches in both equations.
2(x + y) = 2(15)
2x + 2y = 30 ---> Equation 3
Now, subtract Equation 3 from Equation 2 to eliminate 'x':
(2x + 3y) - (2x + 2y) = 35 - 30
x + y = 5 ---> Equation 4
Now we have two equations:
x + y = 5 ---> Equation 4
x + y = 15 ---> Equation 1
We can subtract Equation 4 from Equation 1:
(x + y) - (x + y) = 15 - 5
0 = 10
This means that there is no solution where both equations are satisfied. It indicates that there is an error in the given information or the problem itself.
Double-check the information provided or ask for clarification if possible.