Question

fernando loves to make music playlists. he likes to keep the same ratio of country songs to rock songs. on his summer playlist, he has 100 country songs and 24 rock songs. on his road trip playlist, fernando has 25 country songs. how many rock songs are on fernandos road trip playlist? rock songs

Explanation:

Step1: Find the ratio of country to rock songs

The ratio of country songs to rock songs on the summer playlist is $\frac{100}{24}=\frac{25}{6}$.

Step2: Use the ratio to find the number of rock songs on the road - trip playlist

Let the number of rock songs on the road - trip playlist be $x$. Since the ratio is the same, we have $\frac{25}{x}=\frac{25}{6}$. Cross - multiplying gives $25\times6 = 25x$. Dividing both sides by 25, we get $x = 6$.

Answer:

6