Question

Alexander is selling homemade granola to raise money to support having a pet iguana he makes a batch of granola in the device until 14 individual bags for sale the total cost of the ingredients is 35 Alexander sales each bag at a mark up a 50% how much does each bag cost how much does Alexander make

Answer 1

Cost Price of Each Bag is 2.5

Total Gain is 17.5

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Further explanation

Let's learn about the basic formula about Profit and Loss

$\texttt{Profit = Selling Price - Cost Price}$

$\texttt{Selling Price = Cost Price ( 100\% + Profit\% )}$

$\texttt{Loss = Cost Price - Selling Price}$

$\texttt{Selling Price = Cost Price ( 100\% - Loss\% )}$

Let us tackle the problem !

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The total cost of the ingredients is 35

Total Cost = 35

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Alexander sales each bag at a mark up a 50%

$\texttt{Total Selling Price = Total Cost Price ( 100\% + Profit\% )}$

$\texttt{Total Selling Price = 35 ( 100\% + 50\% )}$

$\texttt{Total Selling Price = 35 ( 150\% ) }$

$\texttt{Total Selling Price = 52.5}$

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Alexander sells 14 individual bags. The cost price of each bag:

$\texttt{Cost Price of Each Bag} = 35 \div 14$

$\texttt{Cost Price of Each Bag} = 2.5$

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$\texttt{Selling Price of Each Bag} = 52.5 \div 14$

$\texttt{Selling Price of Each Bag} = 3.75$

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$\texttt{Total Gain = Total Selling Price - Total Cost Price}$

$\texttt{Total Gain = 52.5 - 35}$

$\texttt{Total Gain = 17.5}$

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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces