Question

There were 50 students in the chess club. The membership increased by 10%. How many total students are now in the club?

Answer 1

There are now 55 total students in the club.

Explanation:

The formula for calculating the percentage change is

`p = (N - O)/O *100` where `p` is the percent change, `N` is the New Value and `O` is the Old Value. In this problem we are given the Old Value (50) and the percent change (10). We can substitute this into the formula and solve for `N`:

`10 = (N - 50)/50*100`

`50/100 * 10 = (N - 50)/50*100 * 50/100`

`500/100 = ((N - 50))/cancel(50)* cancel(100) * cancel(50)/cancel(100)`

`5 = N - 50`

`5 + 50 = N - 50 + 50`

`55 = N`