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Answer :
Final answer:
As per the given values, the distance is 100 miles.
Explanation:
To find the distance for which the two bakeries charge the same price for the Black Forest cake, we need to set up an equation involving the costs and delivery charges of both bakeries.
Let x be the distance in miles.
The cost of the Black Forest cake at Julie's Bakery is $15 + $0.20x.
The cost of the Black Forest cake at Bakers Hut is $20 + $0.15x.
Setting the two costs equal to each other, we have:
$15 + $0.20x = $20 + $0.15x
Combining like terms, we get:
$0.05x = $5
Dividing both sides by $0.05, we find:
x = 100
Therefore, the two bakeries charge the same price for the Black Forest cake when the distance is 100 miles.
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