The yearbook club had a meeting. The meeting had 12 people, which is three-fourths of the club. How many people are in the club?

Question

Need steps so it can help me with further problems

Answer 1

Chelsea, fractions can be confusing, but let's do this.

 

So, 3 of 4 parts of the club is 12 people. If we break 12 into 3 groups, we get 4 members in each group, meaning that 1 of the 4 parts of the club is 4 people.

 

Since we have 3/4 present, we are missing 1/4, or 4 people, meaning there are 16 total members.

 

To do this algebraically, the word "of" means to multiply. If x = the total number of members, then 3/4x = 12. Diving both sides by 3/4, we get x = 16.

 

Hope this helps!

 

Answer 2

Let x = the number of people in the club

 

Translate:

  "12 people, which is three-fourths of the club"   "means"

      12                   =     (3/4)         *    x               [note:  "of" usually means multiply]

 

Re-write:

   12 = (3/4)x

   (4/3)12 = x          [multiply both sides by (4/3)]

     16 = x         [There are 16 people in the yearbook club.]

Answer 3

Answer = 4/3*12