Gillen has 30 vehicles, some are bicylces and some are cars. These vehicles have a total of 88 wheels. How many bicycles would there be?
what was wrong with my previous response?
To find out how many bicycles there are, we need to utilize the information given. Let's assume that each car has 4 wheels, and each bicycle has 2 wheels.
Let's denote the number of cars as 'C' and the number of bicycles as 'B'.
From the given information, we know that Gillen has a total of 30 vehicles. So, we can write the equation:
C + B = 30 ---(Equation 1)
We also know that the vehicles have a total of 88 wheels. So, we can write the second equation based on the number of wheels:
4C + 2B = 88 ---(Equation 2)
Now, we have a system of equations. We can solve this system to find the values of C and B.
One way to solve this system is by substitution:
1. Rearrange Equation 1 to solve for C:
C = 30 - B
2. Substitute the value of C in Equation 2:
4(30 - B) + 2B = 88
3. Simplify the equation:
120 - 4B + 2B = 88
120 - 2B = 88
4. Solve for B:
-2B = 88 - 120
-2B = -32
B = -32 / -2
B = 16
So, there are 16 bicycles.
To verify this result, we can substitute B = 16 back into Equation 1:
C + 16 = 30
C = 30 - 16
C = 14
Therefore, there are 16 bicycles and 14 cars.