Answer:
<u>10 sundaes</u> will be vanilla.
Step-by-step explanation:
Given:
Fernando is making 30 sundaes with mint, chocolate,and vanilla ice cream.
1/3 of the Sunday's are mint ice-cream.
And 1/2 of the remaining sundaes are chocolate.
The rest are vanilla.
Now, to find the number of sundaes that will be vanilla.
Fernando is making sundaes total = 30.
So, the quantity of sundaes that are mint ice-cream:
![\frac{1}{3} \ of\ 30\\\\=\frac{1}{3} \times 30\\\\=10.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5C%20of%5C%2030%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%2030%5C%5C%5C%5C%3D10.)
<em>Thus, 10 sundaes are mint ice-cream.</em>
So, the remaining sundaes are:
![30-10=20.](https://tex.z-dn.net/?f=30-10%3D20.)
<em>Thus, the remaining sundaes are = 20.</em>
Now, to get the quantity of chocolate sundaes of the remaining sundaes:
![\frac{1}{2} \ of\ 20\\\\=\frac{1}{2} \times 20\\\\=10.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5C%20of%5C%2020%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%2020%5C%5C%5C%5C%3D10.)
<em>Hence, 10 sundaes are chocolate of the remaining 20 sundaes.</em>
<em>As, given the rest are vanilla.</em>
Now, to get the vanilla sundaes we subtract the 10 chocolate ice-cream from the 20 remaining sundaes:
![20-10=10.](https://tex.z-dn.net/?f=20-10%3D10.)
Therefore, 10 sundaes will be vanilla.