Question

Adams arcade charges an entrance fee of $7.50 and 0.45 per game. Jims jamming does not charge an entrance fee but the games are $1.25 each. How many number of games must be played in order for the total cost of both arcades to be the same?

Answer 1

Explanation:

cost of playing x games at Adams = 7.50 + 0.45x

cost of playing x games at Jims = 1.25x

1.25x = 7.50 + 0.45x

1.25-0.45x = 7.50

0.80x = 7.50

x = 7.50/0.80 = 9.375 , but x must be an integer.

The cost is never the same. When x ≤ 9, Adams costs more. When x ≥ 10, Jims costs more.