Answer:
![28](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z9ljsclgymnrr55x5un7v8zi29jrdbd3qi.png)
Explanation:
We have been given that there are thirty five students in the class and one fifth have hats.
The students who have no hats would be:
![1-(1)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/le9r3b3492qjo1hpkb17z0832r9n1klw44.png)
![(5)/(5)-(1)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qxet4ugelntprx032nzpbeik0c9zui7t2y.png)
![(5-1)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/o2z5xpefw0m3c6i06aieo5k6a2se9ene5p.png)
![(4)/(5)](https://img.qammunity.org/2020/formulas/mathematics/high-school/xfv56szu341sgt4xkshjneg6z7o9hs1w3r.png)
Since there are 35 students, so
of 35 will have no hats.
![(4)/(5)* 35](https://img.qammunity.org/2020/formulas/mathematics/middle-school/if3ow51q6cbsgfj3p1b6gx22848kyexgf8.png)
![4*7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ca0is0s3ieey6m6prwtipir0tn5sggayz4.png)
![28](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z9ljsclgymnrr55x5un7v8zi29jrdbd3qi.png)
Therefore, 28 students do not have hats.