balls in a store where a 5 percent sales tax is added to every purchase. If she did not have to pay tax, she could have bought three more balls for the same amount of money. How many balls did she buy?

p is the price of a ball and b is the number balls purchased

( b + 3 ) = 1.05*b

3 = 1.05*b - b

3 = .05 *b

3/ .05 = b

60 = b

So based on this, Alice bought 60 balls and she could have bought 63 balls at the same price had she not had to pay a 5% sales tax.