Answer:
219 games.
Step-by-step explanation:
Given the following data;
Cost of each game = $3
Cost of award = $150
Let x = number of games played.
Translating the word problem into an algebraic equation, we have;
[tex] 3x - 150 \geq $507[/tex]
Rearranging the equation, we have;
[tex] 3x \geq 507 + 150[/tex]
[tex] 3x \geq 657[/tex]
Dividing both sides by 3, we have;
[tex]x \geq \frac{657}{3}[/tex]
[tex] x \geq 219[/tex]
Therefore, the number of games to be played in order to make $507 is at least 219 games.
