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At Andy's Market, the price of a box of brand-name cereal is 1.51.5 times the price of a box of generic cereal. If the price of a box of brand-name cereal is $3.60\$3.60, which of the following can be used to determine xx, the price of a box of generic cereal in dollars?

Full solution

Q. At Andy's Market, the price of a box of brand-name cereal is 1.51.5 times the price of a box of generic cereal. If the price of a box of brand-name cereal is $3.60\$3.60, which of the following can be used to determine xx, the price of a box of generic cereal in dollars?
  1. Set Up Equation: To find the price of the generic cereal, we need to set up an equation where the price of the brand-name cereal (3.60)isequalto3.60) is equal to 11.55timesthepriceofthegenericcereal( times the price of the generic cereal (x$).
  2. Represent Relationship: The equation to represent this relationship is: \(1.5 \times x = \$(3.60)\).
  3. Isolate Variable: To solve for \(x\), we need to divide both sides of the equation by \(1.5\) to isolate \(x\).
  4. Calculate Price: Dividing \(\$3.60\) by \(1.5\) gives us the price of the generic cereal: \(x = \$3.60 / 1.5\).
  5. Final Result: Performing the division, we get \(x = \$2.40\).

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