Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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Improve your arithmetic reasoning skills for the Armed Forces Classification Test. Prepare with a variety of questions and detailed explanations to ace your exam!

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How many games has a team won so far if winning 2 more games would bring their winning percentage to 70%, after playing a total of 20 games?

10 games
11 games
12 games
14 games

The correct answer is: 12 games

To determine how many games the team has won so far, let's denote the current number of wins as $ x $. The team has played a total of 20 games, so they have lost $ 20 - x $ games. If the team wins 2 more games, they will have a total of $ x + 2 $ wins, and their total number of games played will be $ 20 + 2 = 22 $. The winning percentage is calculated by dividing the number of wins by the total games played and multiplying by 100 to get a percentage. Setting up the equation for achieving a winning percentage of 70% would look like this: \[ \frac{x + 2}{22} = 0.7 \] To solve for $ x $, first multiply both sides of the equation by 22: \[ x + 2 = 0.7 \times 22 \] Calculating $ 0.7 \times 22 $ gives: \[ 0.7 \times 22 = 15.4 \] Now the equation becomes: \[ x + 2 = 15.4 \] Subtracting 2 from both sides