Question

Solve this Equation based Question. The word tiers should be considered as tires.

Answer 1

Given:

There are total 15 vehicles and the number of tires is 64.

To find:

The number of motor bikes and cars.

Solution:

a.

Let the number of motor bicycles be x and the number of cars be y.

The total number of vehicles are 15. So,

`x+y=15`

A motor bike has 2 tires and a car has 4 tires. So,

`\begin{gathered} 2x+4y=64 \\ \Rightarrow x+2y=32 \end{gathered}`

Thus, the pair of simultaneous equations is:

`\begin{gathered} x+y=15 \\ x+2y=32 \end{gathered}`

b.

Now, subtract the first equation from the second equation to get,

`\begin{gathered} x+2y-(x+y)=32-15 \\ x+2y-x-y=17 \\ y=17 \end{gathered}`

If y = 17, then

`\begin{gathered} x+17=15 \\ x=15-17 \\ x=-2 \end{gathered}`

We get x = -2.

Since the number of motorbikes cannot be negative. Therefore, no solution for this question.