The savings per unit between the best deal and worst deal is about $0.06
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Further explanation
Let's learn about the basic formula about Profit and Loss
[tex]\texttt{Profit = Selling Price - Cost Price}[/tex]
[tex]\texttt{Selling Price = Cost Price ( 100\% + Profit\% )}[/tex]
[tex]\texttt{Loss = Cost Price - Selling Price}[/tex]
[tex]\texttt{Selling Price = Cost Price ( 100\% - Loss\% )}[/tex]
Let us tackle the problem !
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12 pack for $3.50 → 144 pack for [tex]\$ 3.50 \times \frac{144}{12} = \$ 42[/tex]
24 pack for $6.00 → 144 pack for [tex]\$ 6.00 \times \frac{144}{24} = \$ 36[/tex]
36 pack for $8.50 → 144 pack for [tex]\$ 8.50 \times \frac{144}{36} = \$ 34[/tex]
48 pack for $11.75 → 144 pack for [tex]\$ 11.75 \times \frac{144}{48} = \$ 35.25[/tex]
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From information above, we can conclude that:
The Best Deal → 36 pack for $8.50
The Worst Deal → 12 pack for $3.50
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The savings per unit between the best deal and worst deal :
[tex]( \$ 3.50 \div 12 ) - ( \$ 8.50 \div 36 ) = \$ (\frac{1}{18}) \approx \boxed {\$ 0.06}[/tex]
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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
