Chapter 6, Problem 14CT

To determine

To find: the number of novelists and to find numbers of poets are present in a workshop.

Answer to Problem 14CT

The numbers of novelists enrolled are $=15$

The numbers of Poets enrolled are $=9$

Explanation of Solution

Given information:

Novelist and poets are enrolled in ratio $5:3.$

The total number of people at workshop is 24

Calculation:

From the given information:

Novelist and poets are enrolled in ratio $5:3.$

Let the ratio of coefficients is $x$

The enrolment of Novelist are $5x,$ and

The enrolments of Poets are $3x.$

The total number of people at workshop is 24

Therefore, the equation we get is:

  $5x+3x=24$

Now,

Solve the equation $5x+3x=24$ as follows:

  $5x+3x=24$

  $8x=24$

  $\begin{array}{l}x=\frac{24}{8}\hfill \\ x=3\hfill \end{array}$

Substitute into $5x$ to get the number of Novelist enrolment is as follows:

  $\begin{array}{l}5x=5.3\\ =15\end{array}$

Therefore, numbers of novelists enrolled are $=15$

Substitute $x=3$ into $3x,$ to get the number enrolment of Poets as follows:

  $\begin{array}{l}3x=3\cdot 3\\ =9\end{array}$

Therefore, numbers of Poets enrolled are $=9$