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?

2 Answers
Jun 23, 2017

$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!

Jun 23, 2017

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 ps:

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