Question

Two-fifths of the songs in Mariel’s playlist are country. If there are $16$country songs, what is the total number of songs in the playlist?

Short answer

The total number of songs in the playlist is $40$.

Step-by-step solution

Step 1. Given information.

Consider the given question,

No. of county songs in Mariel's playlist is $16$.

Assume p to be the total number of songs.

We are given $16$is two-fifths of the songs is county out of the total number of songs in the playlist. Then,

role="math" localid="1647071854675" $$\begin{gathered} 16=\frac{2}{5}p \\ p=16\times \frac{5}{2} \\ p=40 \end{gathered}$$

Step 2. Check the answer.

Consider the given question,

We know $16$songs is two-fifths of the $40$songs.

Then,

$$\begin{gathered} 16=\frac{2}{5}\times 40 \\ 16=16 \end{gathered}$$

Hence, $LHS=RHS$ and proved.