SOLUTION: Following an investigation into fiance fraud, a daycare center's enrollment decreased by 29% to 53 students. What was the daycare centers enrollment before the investigation?

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Question 703558: Following an investigation into fiance fraud, a daycare center's enrollment decreased by 29% to 53 students. What was the daycare centers enrollment before the investigation?
Answer by nerdybill(7384) About Me  (Show Source):
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Following an investigation into fiance fraud, a daycare center's enrollment decreased by 29% to 53 students. What was the daycare centers enrollment before the investigation?
Let x = enrollment before investigation
then
x - .29x = 53
x(1 - .29) = 53
x(.71) = 53
x = 53/(.71)
x = 75 students