Chapter 6.3, Problem 6CYU

To determine

To determine the numbers of jobs provided by recycling and reuse industry and waste management industry

Answer to Problem 6CYU

Recycling and reuse industry provided 1,150,000 jobs and waste management industry provided 125,000 jobs.

Explanation of Solution

Given:

Recycling and Reuse industry employs approximately 1,025,000 more workers than the waste management industry.

And, they both employed 1,275,000 together.

Calculation:

Let,

The total number of jobs provided by recycling and reuse industry be x

The total number of jobs provided by waste management industry be y.

Recycling and Reuse industry employs approximately 1,025,000 more workers than the waste management industry, which means,

$x-y=1025000$

And, they both employed 1,275,000 together, which means,

$x+y=1275000$

Let the equation,

$x-y=\mathrm{1025000.......}(i)$

$x+y=\mathrm{1275000.......}(ii)$

Now, add equation ( i ) and equation ( ii ),

$\begin{array}{l}\Rightarrow (x-y)+(x+y)=1025000+1275000\\ \Rightarrow x-y+x+y=2300000\\ \Rightarrow 2x=2300000\\ \Rightarrow x=1150000\end{array}$

Now, substitute the value of x in equation ( i ),

$\begin{array}{l}\Rightarrow 1150000-y=1025000\\ \Rightarrow y=125000\end{array}$

Conclusion:

Therefore, recycling and reuse industry provided 1150000 jobs and waste management industry provided 125000 jobs.