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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If a team wins 2 more games, they would win 70% of all their games. They are playing a total of 20 games. How many games have they won so far?

The correct answer is: 12

To determine how many games the team has won so far, we can set up an equation based on the information provided. Let’s denote the number of games they have won as $ x $. According to the problem, if the team wins 2 more games, the total number of games they would have won becomes $ x + 2 $. The total number of games they will have played remains 20. To find the percentage of wins, we set up the equation for the percentage of wins after winning the additional games: \[ \frac{x + 2}{20} = 0.70 \] To eliminate the fraction, we multiply both sides by 20: \[ x + 2 = 0.70 \times 20 \] Calculating $ 0.70 \times 20 $ gives: \[ 0.70 \times 20 = 14 \] Thus, we have: \[ x + 2 = 14 \] Next, we solve for $ x $ by subtracting 2 from both sides: \[ x = 14 - 2 = 12 \] This calculation shows that the team has won 12 games so far