Help with Survey of Mathematics

Question Description

Can you help me understand this Mathematics question?

A customer has been told half-off airfare coupon, fare from their is $259. The $259 includes a 7% tax on regular fare. They lost coupon. What will be regular fare before tax? Round to nearest cent

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Final Answer

Answer: $454.39

Solution:  (Sale Price Including Tax) = (tax rate)*(Original Fare Price)+(Original Fare Price)*(1-Discount %)

=(Original Fare Price)*(tax rate + 1-Discount %)

 259 = x*(.07+1-.5) = .57x

x = 259/.57 = $454.39

Alex Z (997)
Duke University

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