Let's define the number of video games Josh has as \( J \).
According to the problem, Will has two less than three times as many video games as Josh. This can be expressed mathematically as:
\[ W = 3J - 2 \]
Where:
- \( W \) is the number of video games Will has.
- \( J \) is the number of video games Josh has.
We're given that Will has 19 video games, so we can substitute \( W = 19 \) into the equation:
\[ 19 = 3J - 2 \]
Now, we'll solve for \( J \).
- Add 2 to both sides of the equation to isolate the term involving \( J \):
\[ 19 + 2 = 3J \] \[ 21 = 3J \]
- Next, divide both sides by 3:
\[ J = \frac{21}{3} \] \[ J = 7 \]
So, Josh has 7 video games.
To verify, we can calculate Will's video games based on Josh's value:
\[ W = 3J - 2 = 3(7) - 2 = 21 - 2 = 19 \]
This confirms that our work is correct. Josh has 7 video games.
1 answer