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 0.85 less than a package of hot dogs. How much did each package of hot dogs cost? A. 2.96 C. 3.45
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 - 41.50
Step 3: Simplify the equation:
6x + 8x - 41.50
Step 4: Combine like terms:
14x - 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.
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