The number of batches of cookies made is [tex]7\frac{1}{2}[/tex]
Solution:
Given that, baker has 10 cups of sugar to make cookies
Each batch calls for [tex]1\frac{1}{3}[/tex] cups of sugar
To find: Number of batches of cookies can be made
From given information,
Total number of cups of sugar = 10
Cups of sugar for 1 batch = [tex]1\frac{1}{3} = \frac{3 \times 1 + 1}{3} = \frac{4}{3}[/tex]
Therefore, number of batches of cookies can be made is found by dividing the total number of cups of sugar by cups of sugar for 1 batch
Thus we get,
[tex]\text{Number of batches of cookies can be made} = \frac{\text{Total number of cups of sugar}}{\text{Cups of sugar for 1 batch}}[/tex]
Substituting the values, we get
[tex]\text{Number of batches of cookies can be made} = \frac{10}{\frac{4}{3}}\\\\\text{Number of batches of cookies can be made} = 10 \times \frac{3}{4}\\\\\text{Number of batches of cookies can be made} = \frac{15}{2}\\\\\text{In mixed form, we get }\\\\\rightarrow \frac{15}{2} = 7\frac{1}{2}[/tex]
Thus number of batches of cookies made is [tex]7\frac{1}{2}[/tex]
