Respuesta :
ANSWER:
4 batches of cupcakes can be made.
SOLUTION:
Given, we need [tex]3\frac{1}{2}[/tex] cups of flour for each batch of cupcakes. And we have 17 cups of flour.
We need to find how many batches can be made.
1st way:
We will get the number of batches when we divide the available cups with cups required for one batch.
Available cups = 17 and required cups for one batch = [tex]3\frac{1}{2}[/tex] = [tex]\frac{7}{2}[/tex] cups
number of batches = [tex]$\frac{17}{\frac{7}{2}}$[/tex]
[tex]$=\frac{17}{1} \times \frac{2}{7}$[/tex]
[tex]$=\frac{34}{7}$[/tex] = 4.857
As the number of batches can’t be fraction, we will neglect the fractional part.
2nd way:
Let the number of batches be x.
Then, cups of flour required for batches must be less than available flour
(x)([tex]\frac{7}{2}[/tex]) < 17
(x)(7) < (2)(17)
7x < 34
x < [tex]\frac{34}{7}[/tex]
x < 4.857
As the number of batches must be an whole number, x becomes 4.
Hence, 4 batches of cupcakes can be made.
