# How do you find the new amount given 80 members decreased by 65%?

Aug 24, 2017

See a solution process below:

#### Explanation:

We can write an equation for this problem as:

$n = m + \left(m \cdot r\right)$

Where:

$n$ is the new number of members. What we are solving for.

$m$ is the original number of members. 80 for this problem.

$r$ is the rate of change in membership. -65% for this problem because there was a decrease in the number of members. "Percent" or "%" means "out of 100" or "per 100", Therefore -65% can be written as $- \frac{65}{100}$.

Substituting and calculating $n$ gives:

$n = 80 + \left(80 \cdot - \frac{65}{100}\right)$

$n = 80 + \left(- \frac{5200}{100}\right)$

$n = 80 + \left(- 52\right)$

$n = 80 - 52$

$n = 28$

There are now 28 members.

Aug 24, 2017

$28$ members

#### Explanation:

If there is a decrease of 65% , it means that 100%-65% = 35% of the members are left.

So we just need to find 35% of 80.

$\frac{35}{100} \times 80 = 28$ members.

The other way is to find the actual decrease, which is:

$\frac{65}{100} \times 80 = 52$ members

$80 - 52 = 28$ members remain.