two rock bands are trying to gain more followers on social media. strong friday has 88,300 followers and has…
two rock bands are trying to gain more followers on social media. strong friday has 88,300 followers and has been gaining 200 each month. men and hippos has 79,900 followers and has been gaining 900 each month. if these trends continue, how long will it take for the two bands to have the same number of followers? simplify any fractions. months
Answer
Explanation:
Step1: Set up equations
Let $m$ be the number of months. The number of followers of Strong Friday after $m$ months is $88300 + 200m$. The number of followers of Men and Hippos after $m$ months is $79900+900m$. We want to find $m$ when $88300 + 200m=79900 + 900m$.
Step2: Rearrange the equation
Subtract $200m$ from both sides: $88300=79900 + 900m-200m$, which simplifies to $88300=79900 + 700m$.
Step3: Solve for $m$
Subtract $79900$ from both sides: $88300 - 79900=700m$. So, $8400 = 700m$. Then divide both sides by $700$: $m=\frac{8400}{700}=12$.
Answer:
12