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Question
test prep mrs. owens has a coupon for 40% off a pair of shoes. she pays $111.79 for a pair of shoes and a dress after using the coupon. the dress costs $64.99. which equation can be solved for x, the retail price of the shoes? show hints 0.6(x + 64.99) = 111.79 0.6x + 64.99 = 111.79 0.4(x + 64.99) = 111.79 0.4x + 64.99 = 111.79
Step1: Define cost relationship
A 40% discount means paying 60% (0.6) of the total retail price (shoes $x$ + dress $64.99$), which equals the amount paid $\$111.79$.
Step2: Match to correct equation
The total retail price is $x + 64.99$, 60% of this is $0.6(x + 64.99)$, set equal to $111.79$.
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0.6(x + 64.99) = 111.79