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Jennifer bought 6 packages of hot dogs and 8 packages of rolls for $41.50. A package of rolls costs $0.85 less than a package of hot dogs. How much did each package of hot dogs cost? A. $2.60 B. $2.96 C. $3.00 D. $3.45

Question

Jennifer bought 6 packages of hot dogs and 8 packages of rolls for 41.50.Apackageofrollscosts41.50. A package of rolls costs 0.85 less than a package of hot dogs. How much did each package of hot dogs cost? A. 2.60B.2.60 B. 2.96 C. 3.00D.3.00 D. 3.45

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Solution

Let's solve this problem step by step:

Step 1: Let's denote the cost of a package of hot dogs as x. Therefore, the cost of a package of rolls is x - $0.85.

Step 2: We know that Jennifer bought 6 packages of hot dogs and 8 packages of rolls for a total of $41.50. We can set up the following equation to represent this situation:

6x + 8(x - 0.85)=0.85) = 41.50

Step 3: Simplify the equation:

6x + 8x - 6.80=6.80 = 41.50

Step 4: Combine like terms:

14x - 6.80=6.80 = 41.50

Step 5: Add $6.80 to both sides of the equation to isolate the term with x:

14x = $48.30

Step 6: Divide both sides of the equation by 14 to solve for x:

x = $48.30 / 14

x = $3.45

Therefore, each package of hot dogs cost $3.45, which corresponds to answer D.

This problem has been solved

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