The number of batches of cookies made is ![7\frac{1}{2}](https://tex.z-dn.net/?f=7%5Cfrac%7B1%7D%7B2%7D)
<em><u>Solution:</u></em>
Given that, baker has 10 cups of sugar to make cookies
Each batch calls for
cups of sugar
<em><u>To find: Number of batches of cookies can be made</u></em>
From given information,
Total number of cups of sugar = 10
Cups of sugar for 1 batch = ![1\frac{1}{3} = \frac{3 \times 1 + 1}{3} = \frac{4}{3}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B3%20%5Ctimes%201%20%2B%201%7D%7B3%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D)
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,
![\text{Number of batches of cookies can be made} = \frac{\text{Total number of cups of sugar}}{\text{Cups of sugar for 1 batch}}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20batches%20of%20cookies%20can%20be%20made%7D%20%3D%20%5Cfrac%7B%5Ctext%7BTotal%20number%20of%20cups%20of%20sugar%7D%7D%7B%5Ctext%7BCups%20of%20sugar%20for%201%20batch%7D%7D)
<em><u>Substituting the values, we get</u></em>
![\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}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20batches%20of%20cookies%20can%20be%20made%7D%20%3D%20%5Cfrac%7B10%7D%7B%5Cfrac%7B4%7D%7B3%7D%7D%5C%5C%5C%5C%5Ctext%7BNumber%20of%20batches%20of%20cookies%20can%20be%20made%7D%20%3D%2010%20%5Ctimes%20%5Cfrac%7B3%7D%7B4%7D%5C%5C%5C%5C%5Ctext%7BNumber%20of%20batches%20of%20cookies%20can%20be%20made%7D%20%3D%20%5Cfrac%7B15%7D%7B2%7D%5C%5C%5C%5C%5Ctext%7BIn%20mixed%20form%2C%20we%20get%20%7D%5C%5C%5C%5C%5Crightarrow%20%5Cfrac%7B15%7D%7B2%7D%20%3D%207%5Cfrac%7B1%7D%7B2%7D)
Thus number of batches of cookies made is ![7\frac{1}{2}](https://tex.z-dn.net/?f=7%5Cfrac%7B1%7D%7B2%7D)