Answer:the number of bowling games that they would play before the amount that they would pay becomes the same is zero
Step-by-step explanation:
The total amount that Stacy pays for x games of bowling at Lively Lanes is expressed as
0.9(2x+5) = 1.8x + 4.5
The total amount that Stacy pays for x games of bowling at Lively Lanes is expressed as
4.50 + 1.80x
To determine the number of bowling games that they would play before the amount that they would pay becomes the same, we would equate both expressions since it is the same number of games,x. It becomes
1.8x + 4.5 = 4.50 + 1.80x
1.8x - 1.8x = 4.5 - 4.5
Since both amounts are equal, it means the number of games would be zero.