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marishachu [46]
3 years ago
15

David purchased some cookies at the cost of 5 for $4 and sold them at 4 for $5. David made a profit of $180 in total. How many c

ookies did David purchase to make that much money?
Mathematics
1 answer:
horsena [70]3 years ago
5 0

David purchased some cookies at the cost of

5 for $4 (5/4=1.25) and


sold them at 4 for $5(4/5=0.80).


To find cost per cookie subtract 1.25-0.80=0.45


David made a profit of $180 in total ( divide profit per cookie cost: 180/0.45= 400)


How many cookies did David purchase to make that much money?


He needed to make 400 cookie to make the profit of $180.



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Answer:

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<em></em>

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Kindly refer to the attached image for the diagram of the given conditions and values.

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tan(\angle ADC) = \dfrac{Perpendicular}{Base} = \dfrac{AC}{CD}\\\Rightarrow AC = 700 \times tan38\\\Rightarrow AB +BC = 700 \times tan38\\\\\text{Using equation (1):}\\\Rightarrow AB + 700 \times tan 35 = 700 \times tan 38\\\Rightarrow AB  = 700 \times tan 38-700 \times tan35\\\Rightarrow AB  = 700 \times (tan 38-tan35)\\\Rightarrow AB  = 700 \times 0.081\\\Rightarrow AB  = \bold{56.7}\ ft

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