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Answer :
Answer:
It would make 7 batches of chocolate cake
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Rewritten by : Barada
The bakery can make 21 chocolate cakes with 5[tex]\frac{1}{4}[/tex] cups of chocolate frosting by dividing the total amount of frosting by the amount needed for one cake, performing the calculation[tex]\frac{21}{4}[/tex]divided by[tex]\frac{3}{4}[/tex].
The question is asking how many chocolate cakes can be made with 5[tex]\frac{1}{4}[/tex]cups of chocolate frosting when the recipe calls for [tex]\frac{3}{4}[/tex]of a cup of frosting per cake. To solve this, we perform a division to find out the number of cakes that can be made with the given amount of frosting.
We divide the total amount of frosting available, which is 5 [tex]\frac{1}{4}[/tex] cups, by the amount of frosting needed for one cake, which is [tex]\frac{3}{4}[/tex] of a cup. First, we convert 5[tex]\frac{1}{4}[/tex] cups to an improper fraction, which is [tex]\frac{21}{4}[/tex]cups. Then, we divide[tex]\frac{21}{4}[/tex] cups by[tex]\frac{3}{4}[/tex]cups. When dividing fractions, we multiply by the reciprocal of the divisor, so we multiply[tex]\frac{21}{4}[/tex] by [tex]\frac{4}{3}[/tex], which gives us[tex]\frac{21}{4}[/tex] × [tex]\frac{4}{3}[/tex] = 21 cakes. Hence, the bakery can make 21 chocolate cakes with the available frosting.
