Question

Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1000 followers on social media but is losing 25 followers a day. How many days will it take them to have the same number of followers?

Answer 1

400+75x=1000-25x
-400 from both sides
75x=600-25x
add 25x to both sides
100x=600
divide both sides by 100
x=6
it will take them 6 days to have the same number of followers

Answer 2

The days will it take them to have the same number of followers is:

• 6 days.

Explanation:

To solve the proposed exercise, an equation must be made for each one taking into account the information obtained:

1. Followers Celebrity A = 400 + 75d
2. Followers Celebrity B = 1000 - 25d

Where d is the number of days elapsed. Since you want to identify the day in which they will have the same number of followers, you proceed to match the two equations:

• 400 + 75d = 1000 - 25d

And you clear the variable d (remember that those who are adding to one side of equality, go to the other side to subtract and, if they are subtracting to one side of equality, go to add):

• 400 + 75d = 1000 - 25d
• 75d + 25d = 1000 - 400
• 100d = 600
• d = 600/100
• d = 6 days