Joel needs 785 tickets to get the prize he wants at the arcade. He already has 284 tickets and can earn 35 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?

He needs to play more than 14 or more games for him to win the prize he wants.

Step-by-step explanation:

You could use the equation  35x + 284=785  where x represents the number of games he need to place in order to have enough tickets to win the prize he wants.

35x + 284 = 785

        -284     -284

35x = 501    

x= 14.314

1/800 is the right answer

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11