Final answer:
By setting up and solving a system of equations for the cost of bowling at Main Event and Oasis, it is determined that 12 games were bowled at each alley when the same total amount was spent.
Step-by-step explanation:
Calculating the Cost of Bowling Games
To determine how many games were bowled given the same spending amount each day at two different bowling alleys, one must create and solve a system of equations. For Main Event, with a shoe rental costing $2 and each game $3.50, the total cost (T) can be represented as T = 2 + 3.50G, where G is the number of games. For Oasis, with shoe rental at $5 and each game $3.25, the equation would be T = 5 + 3.25G.
Since the spending amount each day is the same, these two equations are equal to each other. We set them equal to one another: 2 + 3.50G = 5 + 3.25G. Simplifying, we get 0.25G = 3, hence G = 12. Therefore, 12 games were bowled.
After solving, it's clear that the correct answer is Option B: 12 games. This reflects the number of games that can be bowled at two different prices while spending the same total amount at each location.