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Answer :
To determine how much the ingredients will cost for all of the birthday cake orders, let's follow these steps:
1. Identify the number of cakes ordered:
There are 48 birthday cakes ordered.
2. Determine the selling price of each cake:
Each cake sells for [tex]$52.
3. Calculate the fraction of the selling price spent on ingredients:
It's given that $[/tex]\frac{1}{4}[tex]$ of each cake's selling price is used for ingredients.
4. Find the cost of ingredients per cake:
To get the cost of ingredients for one cake, multiply the selling price of the cake by the fraction spent on ingredients:
\[
\text{Cost of ingredients per cake} = 52 \times \frac{1}{4} = 13
\]
5. Calculate the total cost of ingredients for all cakes:
Multiply the cost of ingredients per cake by the total number of cakes ordered:
\[
\text{Total ingredients cost} = 13 \times 48 = 624
\]
Therefore, the total cost of ingredients for all 48 birthday cakes is $[/tex]624.
1. Identify the number of cakes ordered:
There are 48 birthday cakes ordered.
2. Determine the selling price of each cake:
Each cake sells for [tex]$52.
3. Calculate the fraction of the selling price spent on ingredients:
It's given that $[/tex]\frac{1}{4}[tex]$ of each cake's selling price is used for ingredients.
4. Find the cost of ingredients per cake:
To get the cost of ingredients for one cake, multiply the selling price of the cake by the fraction spent on ingredients:
\[
\text{Cost of ingredients per cake} = 52 \times \frac{1}{4} = 13
\]
5. Calculate the total cost of ingredients for all cakes:
Multiply the cost of ingredients per cake by the total number of cakes ordered:
\[
\text{Total ingredients cost} = 13 \times 48 = 624
\]
Therefore, the total cost of ingredients for all 48 birthday cakes is $[/tex]624.
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