Answer: 0.25x + 3 ≤ 10; 28 games
Note how we have a "less than or equal to" sign, instead of simply a "less than" sign.
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Work Shown:
x = number of games
0.25x = amount spent on games only
0.25x+3 = total amount spent (games+admission)
total spent ≤ $10 since $10 is the most we have
0.25x + 3 ≤ 10 is the inequality we need to solve
0.25x ≤ 10-3 .... subtract 3 from both sides
0.25x ≤ 7
x ≤ 7/0.25 ............ divide both sides by 0.25
x ≤ 28
Since x is less than or equal to 28, this means the largest x can get is 28.
We can think of this as the ceiling value so to speak.
So the maximum number of games that can be played is 28.
