Let X be the original sum of money Claire had.
She spent 1/4*X + 50 on the dress and the book, leaving her with X - 1/4*X - 50 = 3/4*X - 50
So she spent 4/7 * (3/4*X - 50) = 0.42857 * (3/4*X - 50) = 0.42857 * 3/4 * X - 0.42857 * 50 = 1/14 * X - 0.42857 * 50 on the book.
The remainder was X - 1/4*X - 50 - 1/14 * X + 0.42857 * 50 = 1/2*X - 50 + 21.42857 = 1/2*X - 28.57143
So, 1/2*X - 28.57143 = 1/4*X
So, 2/2*X - 28.57143 = 1/4*X
So, 2/2*X - 1/4*X = 28.57143
So, 7/4*X = 28.57143
So, X = 28.57143 * 4 / 7 = <<28.57143*4/7=16.326530612244903>>16.326530612244903 dollars. Answer: \boxed{16.326530612244903}.
Claire has a sum of money. She spent $50 on a dress and 4 7 of the remainder on a book. She was left with 1 4 of the original sum of money. How much money did Claire have at first?
1 answer