Question

Anja stands by the side of the road counting the wheels on the vehicles that go past her if she counts 250 wheels tie many cars and bikes has she seen?

Answer 1

50 cars and 25 bikes

Explanation:

Given

Total wheels = 250

Required:

Number of cars and bikes

Let C represent Cars and B represents Bike

A car has 4 wheels and a bike has 2 wheels;

So,

`4C + 2B = 250`

Divide through by 2

`(4C + 2B)/(2) = (250)/(2)`

`2C + B = 125` ---- Equation 1

The ratio of wheels of cars to wheels of bike is 1:2

Meaning that

1C = 2B

So, C = 2B

Substitute 2B for C in equation 1

`2(2B) + B = 125`

`4B + B = 125`

`5B = 125`

Divide both sides by 5

`(5B)/(5) = (125)/(5)`

`B = (125)/(5)`

`B = 25`

Recall that C = 2B

So,

`C = 2 * 25`

`C = 50`

Hence, Anna has seen 50 cars and 25 bikes