Chapter 6.1, Problem 3GP

To determine

Find the number of weeks that both of them have same amount.

Answer to Problem 3GP

There will be taking four weeks to have the same amount of both.

Explanation of Solution

Given:

It is given in the question that Joe has $\$14$ and saves $\$10$ a week whereas Josh has $\$26$ and saves $\$7$ a week.

Concept Used:

In this, use the concept of making the linear equation and equation them.

Calculation:

Let the number of weeks be x .

So, the equation of Joe be $14+10x$

The equation of Josh be $26+7x$

Now, equation the both equation:

  $\begin{array}{l}14+10x=26+7x\\ 10x-7x=26-14\\ 3x=12\\ x=\frac{12}{3}=4\end{array}$

Conclusion:

There will be taking four weeks to have the same amount of both.