AFCT Arithmetic Reasoning Practice Test – Prep & Study Guide for the Armed Forces

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