Question

crystal tunes and mad musik are competing music streaming sites. crystal tunes currently has 7.2 million subscribers and has been gaining 1.7 million subscribers each month. mad musik currently has 26.8 million subscribers but has been losing 1.1 million subscribers each month.
if these trends continue, how long will it take for the two streaming sites to have the same number of subscribers?
simplify any fractions.
months

Explanation:

Step1: Set up equations

Let $x$ be the number of months. The number of subscribers for Crystal Tunes after $x$ months is $7.2 + 1.7x$ (in millions), and for Mad Musik is $26.8-1.1x$ (in millions). We want to find when they are equal, so we set up the equation $7.2 + 1.7x=26.8 - 1.1x$.

Step2: Add $1.1x$ to both sides

Adding $1.1x$ to both sides of the equation gives $7.2+1.7x + 1.1x=26.8-1.1x+1.1x$, which simplifies to $7.2 + 2.8x=26.8$.

Step3: Subtract 7.2 from both sides

Subtracting 7.2 from both sides, we get $7.2-7.2 + 2.8x=26.8 - 7.2$, resulting in $2.8x=19.6$.

Step4: Solve for $x$

Dividing both sides by 2.8, we have $x=\frac{19.6}{2.8}=\frac{196}{28}=7$.

Answer:

7