Answer:
The total number of students in the gymnastics are <u>70</u>.
Step-by-step explanation:
Given:
Fifty-six students in a gymnastics club participated in the last fundraiser.
In the gymnastics club 80% of the students in the club participated in the fundraiser.
Now, to find the total number of students in the gymnastics.
Let the total number of students be ![x.](https://tex.z-dn.net/?f=x.)
Number of students participated in the club = 56.
Percent of students participated in the club = 80%.
According to question:
![80\%\ of\ x=56](https://tex.z-dn.net/?f=80%5C%25%5C%20of%5C%20x%3D56)
![\frac{80}{100} \times x=56](https://tex.z-dn.net/?f=%5Cfrac%7B80%7D%7B100%7D%20%5Ctimes%20x%3D56)
![0.8\times x=56](https://tex.z-dn.net/?f=0.8%5Ctimes%20x%3D56)
<em>Dividing both sides by 0.8 we get:</em>
![x=70.](https://tex.z-dn.net/?f=x%3D70.)
Therefore, the total number of students in the gymnastics are 70.