Question

Games at the carnival cost $3 each. The prizes awarded to winners cost $150. How many games must be played to make at

least $507

Answer 1

219 games.

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;

`3x - 150 \geq $507`

Rearranging the equation, we have;

`3x \geq 507 + 150`

`3x \geq 657`

Dividing both sides by 3, we have;

`x \geq (657)/(3)`

`x \geq 219`

Therefore, the number of games to be played in order to make $507 is at least 219 games.