SOLUTION: Shayna brought $20 to the local arcade. After playing 13 equally priced games, she had $10.25 remaining. a. Write an equation that could be used to solve for the cost of each game

Question 1208602: Shayna brought $20 to the local arcade. After playing 13 equally priced games, she had $10.25 remaining.
a. Write an equation that could be used to solve for the cost of each game, g.
b. solve

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

g = cost, in dollars, of 1 game.
13g = cost, in dollars, of 13 games.
20-13g = amount leftover
20-13g = 10.25 is the equation to solve.

Let's solve for g.
To do so, follow PEMDAS in reverse to undo what is happening to the variable.
We'll subtract 20 from both sides. Then divide both sides by -13.
20-13g = 10.25
-13g = 10.25-20
-13g = -9.75
g = -9.75/(-13)
g = 0.75
Each game costs $0.75 aka 75 cents

Check:
Each game costs $0.75, which means 13 of them cost Shayna a total of 13g = 13*0.75 = 9.75 dollars.
She will have 20-9.75 = 10.25 dollars remaining.
We have confirmed the answer.

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