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

1 Answer
Dec 9, 2016

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#