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

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

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Answer 1 · 2016-12-09T14:56:15

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 $N$ :

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

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

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

$5 = N - 50$

$5 + 50 = N - 50 + 50$

$55 = N$

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

1 Answer

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