At Andy's Market, the price of a box of brand-name cereal is 1.5 times the price of a box of generic cereal. If the price of a box of brand-name cereal is $3.60, which of the following can be used to determine x, the price of a box of generic cereal in dollars? Choose 1 answer: (A) (x)/( 1.5)=3.6 (B) 1.5 x=3.6 (C) 3.6 x=1.5 (D) x+1.5=3.6

Question

At Andy's Market, the price of a box of brand-name cereal is 1.5 times the price of a box of generic cereal. If the price of a box of brand-name cereal is  $3.60, which of the following can be used to determine  x, the price of a box of generic cereal in dollars? Choose 1 answer: (A)  (x)/( 1.5)=3.6 (B)  1.5 x=3.6 (C)  3.6 x=1.5 (D)  x+1.5=3.6

Bytelearn · Accepted Answer

Denote Price Relationship: Let's denote the price of a box of generic cereal as x dollars. According to the problem, the price of a box of brand-name cereal is 1.5 times the price of a box of generic cereal. We can write this relationship as: Brand-name cereal price = 1.5 * Generic cereal priceSubstitute Brand-Name Price: We are given that the price of a box of brand-name cereal is $3.60. We can substitute this value into the equation from the previous step: $3.60 = 1.5 * xIsolate x: To find the value of x, we need to isolate x on one side of the equation. We can do this by dividing both sides of the equation by 1.5: x = $3.60 / 1.5Perform Division: Now, let's perform the division to find the value of x: x = $3.60 / 1.5 x = $2.40Final Calculation: The expression that represents this calculation is (x)/(1.5) = 3.6, which corresponds to choice (A).

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