Chapter 6, Problem 10CR

To determine

To calculate:Years after which Jenna and Jay have written same amount of songs.

Answer to Problem 10CR

  $4$ years

Explanation of Solution

Calculation:

Suppose after $x$ years both Jenna and Jay have written equal songs.

Now, after $x$ years, songs written by Jenna is, $12x$ and songs written by Jay is, $24+6x$

System of equations:

  $\begin{array}{l}y=12x\\ y=24+6x\end{array}$

Now, let’s draw a graph to solve these equations,

  

From the graph, solution of system of equation is, $(4,48)$

That means after $4$ years, Jenna and Jay will have same amount of written songs, and the number of songs will be, $48$