Question

Brent had $26 when he went to the fair. After playing 5 games and then 2 more, he had $15.50 left. How do you solve `15.50=26-5p-2p` to find the price for each game?

Answer 1

$1.50

Explanation:

1. Combine like terms.

`-5p` and `-2p` can be combined to make `-7p`, so now the equation is

`15.50 = 26 - 7p`

This makes sense because he played 5 games, then 2 more, so that's 7 games in total.

2. Subtract 26 from both sides to isolate the variable `p`.

`15.50 color(blue)( - 26) = 26 - 7p color(blue)(- 26)`

`-10.5 = -7p`

3. Divide both sides by `-7` to find the value of `p`.

`(-10.5)/-7 = (-7p)/-7`

`1.5 = p`

The price of each game is $1.50.

Hope this helps!

Answer 2

`p=1.50`

Explanation:

First, combine like terms. We have `-5p` and `-2p`. Combine their coefficients:

`-5p-2p=(-5-2)p=-7p`

So now we have:

`15.50=26-7p`

Subtract `26` on both sides to isolate the `p`s:

`15.50-26=26-7p-26`

This becomes:

`-10.50=-7p`

Now divide both sides by `-7`:

`-10.50/-7=-7p/-7`

This becomes:

`1.5=p`

So each game costs `1.50`