Answer:
Options A, B and C are correct choices.
Step-by-step explanation:
Let c represent the cost of each shirt.
As Lorenzo bought 3 shirts, so the cost of 3 shirts will be 3c.
We have been given that the shirts are on sale for 20% off, so the total cost of three shirts after discount will be 3c minus 20% of 3c.
We can represent this information in an equation as:
![\text{Total cost for the three shirts after the discount}=3c-(\frac{20}{100}\times 3c)](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20for%20the%20three%20shirts%20after%20the%20discount%7D%3D3c-%28%5Cfrac%7B20%7D%7B100%7D%5Ctimes%203c%29)
![\text{Total cost for the three shirts after the discount}=3c-(0.20\times 3c)](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20for%20the%20three%20shirts%20after%20the%20discount%7D%3D3c-%280.20%5Ctimes%203c%29)
![\text{Total cost for the three shirts after the discount}=3c-0.60c](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20for%20the%20three%20shirts%20after%20the%20discount%7D%3D3c-0.60c)
Let us see our given choices one by one.
A. 0.80(3c)
Upon simplifying our given expression we will get,
![0.80(3c)=2.40c](https://tex.z-dn.net/?f=0.80%283c%29%3D2.40c)
Therefore, option A is a correct choice.
B. 3c−0.20(3c)
We have already seen that total cost of 3 shirts after discount will be 3c minus 20% of 3c and after simplifying our expression we will get,
![3c-0.20(3c)=3c-0.60c=2.40c](https://tex.z-dn.net/?f=3c-0.20%283c%29%3D3c-0.60c%3D2.40c)
Therefore, option B is a correct choice as well.
C. 3(c−0.20c)
Upon simplifying our given expression we will get,
![3(c-0.20c)=3c-0.60c=2.40c](https://tex.z-dn.net/?f=3%28c-0.20c%29%3D3c-0.60c%3D2.40c)
Therefore, option C is a correct choice as well.
D. 1.20(3c)
Upon simplifying our given expression we will get,
![1.20(3c)=3.60c](https://tex.z-dn.net/?f=1.20%283c%29%3D3.60c)
Since total cost of 3 shirts after discount is 2.40c, therefore, option D is not a correct choice.