Question

ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports collection how many action games and how many sports games does He have

Answer 1

Answer:

He have 15 action games and 24 sports games.

Step-by-step explanation:

Given:

Ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports collection.

Now, to find the number of action games and sports games.

Let the sports games be $x.$

As, given his action collection is three more than half his sports collection.

Thus, the action games = $3+\frac{x}{2}$ .

Total number of video games = 39.

So, we set an equation to get the number of action games and sports games:

$x+(3+\frac{x}{2})=39$

$x+3+\frac{x}{2} =39$

Subtracting both sides by 3 we get:

$x+\frac{x}{2} =36$

$\frac{2x+x}{2}=36$

$\frac{3x}{2} =36$

Multiplying both sides by 2 we get:

$3x=72$

Dividing both sides by 3 we get:

$x=24.$

The sports games he have = 24.

Now, to get the action games we substitute the value of $x$:

$3+\frac{x}{2}$

= $3+\frac{24}{2}$

= $3+12$

= $15.$

The action games he have = 15.

Therefore, he have 15 action games and 24 sports games.