Question

Mr.Wingate has 30 vehicles. Some are bicycles and cars. These vehicles have a total of 88 wheels. How many bicycles are there?

Answer 1

We can use a systems of linear equations to figure this out. X will be bicycles and cars will be y. Our first equation will be x + y = 30. Our second equation will be 2x + 4y = 88. This is because bicycles have two wheels, and cars have four. Next, we can solve this through elimination. We can subtract the first equation by -2. This gives us -2x - 2y = -60. We can then add that equation to 2x + 4y = 88. This gives us 2y = 28. We now divide by 2 to isolate y. This is 14. y = 14. That is the amount of cars there are. We can plug 14 into any equation now, but I will use the first one. x + 14 = 30. Subtract 14 from both sides. x = 16

There are 16 bicycles.

Answer 2

16 bicycles

Explanation:

b is the number of bicycles

c is the number of cars

so b + c = 30

bicycles have 2 wheels while cars have 4 wheels

so 2b + 4c = 88

Substitute c = 30 - b

2b + 4(30 - b) = 88

2b - 4b + 120 = 88

-2b = -32

b = 16