Q21. - Algebra 1

Question

In 2005, the U.S. produced 4411300 motor vehicles. This was $\mathbf{10}\mathbf{\%}$ of the total motor vehicle production for the whole world. How many motor vehicles were produced worldwide in 2005?

Step-by-Step Solution

Answer

44113000 motor vehicles were produced worldwide in 2005.

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Define the meaning of x percentage of y .

$x\%$ of$y=\left(\frac{{\displaystyle x}}{{\displaystyle 100}}\right)\left(y\right)$

Step 3. Determine the number of motor vehicles that were produced worldwide in 2005.

The motor vehicle produced in the $U.S.$ in 2005

Let the motor vehicle produced worldwide in 2005 $=x$

Since, the motor vehicle produced in the $U.S.$ in 2005 is $10\%$ of the total motor vehicle produced worldwide in 2005.

So, 

$\begin{array}{c}4411300=\left(\frac{10}{100}\right)\left(x\right)\\ 4411300=\frac{x}{10}\\ x=4411300\times 10\\ x=44113000\end{array}$

Therefore, 44113000 motor vehicles were produced worldwide in 2005.