Chapter 11.1, Problem 60AYU

(a)

To determine

To find: The invested money.

Answer to Problem 60AYU

The invested money is 60000 and 90000

Explanation of Solution

Given,

AA bonds yielding 10% per annum and bank certificate yielding 5%

Calculation:

Let x and y are the investments.

According to the question, the equation is,

  $\begin{array}{l}0.1x+0.05y=12000\\ x+y=150000\end{array}$

Multiply the above equations by -0.1

  $\begin{array}{l}\left(-0.1\right)x+\left(-0.1\right)y=150000\left(-0.1\right)\\ -0.1x-0.1y=-15000\end{array}$

Now, solve above equation we get,

  $\begin{array}{l}y=60000\\ x=90000\end{array}$

Thus, the invested money is 60000 and 90000.

(b)

To determine

To find: The reallocated invested money.

Answer to Problem 60AYU

The reallocated invested money is 20000 and 130000

Explanation of Solution

Given,

AA bonds yielding 10% per annum and bank certificate yielding 5%

Calculation:

Let x and y are the investments.

According to the question, the equation is,

  $\begin{array}{l}0.1x+0.05y=14000\\ x+y=150000\end{array}$

Multiply the above equations by -0.1

  $\begin{array}{l}\left(-0.1\right)x+\left(-0.1\right)y=150000\left(-0.1\right)\\ -0.1x-0.1y=-15000\end{array}$

Now, solve above equation we get,

  $\begin{array}{l}y=20000\\ x=130000\end{array}$

Thus, the reallocated invested money is 20000 and 130000