Answer:
A. $100
B. 29%
Explanation:
A. To find total price of the items Sammy bought we will add the price of shoes and jacket after discount.
Let us find price of shoes after 25% discount.
![\text{Price of shoes after discount}=40-((25)/(100)*40)](https://img.qammunity.org/2019/formulas/mathematics/high-school/69z1ztg9mniyw42i1r6u98rkqg6fktyi69.png)
![\text{Price of shoes after discount}=40-((1)/(4)*40)](https://img.qammunity.org/2019/formulas/mathematics/high-school/n3opc3xdjq12eipu9gdjbxk0qybffswajl.png)
![\text{Price of shoes after discount}=40-10=30](https://img.qammunity.org/2019/formulas/mathematics/high-school/767wv8qrlyuii25fedlyaoe6h80fame6vq.png)
Therefore, price of shoes after discount is $30.
Now let us find price of jacket after 30% discount.
![\text{Price of jacket after discount}=100-((30)/(100)*100)](https://img.qammunity.org/2019/formulas/mathematics/high-school/h41qe4kgtmhmhrrmuwc33atve5510pqcs9.png)
![\text{Price of jacket after discount}=100-30](https://img.qammunity.org/2019/formulas/mathematics/high-school/8giq2talk08rjhd2moch0uc51ldidznvvv.png)
![\text{Price of jacket after discount}=70](https://img.qammunity.org/2019/formulas/mathematics/high-school/te93qqo5e6edhqdoopu939i2a53wmooeyq.png)
Therefore, price of jacket after discount is $70.
Now let us add both prices to find the total price of the items.
![\text{Total price of items}=30+70](https://img.qammunity.org/2019/formulas/mathematics/high-school/iz6viuivpuhh008orw4x4ftgrj9epg66fx.png)
![\text{Total price of items}=100](https://img.qammunity.org/2019/formulas/mathematics/high-school/2hpf00fposcjvzbcf53a2qzj6vhdjwk3il.png)
Therefore, the total price of the items bought by Sammy is $100.
B. To find the percent discount which Sammy got on his total purchases, we will use percent change formula.
Total price without discount= 100+40=140
![\text{Discount percent}=(140-100)/(140)* 100](https://img.qammunity.org/2019/formulas/mathematics/high-school/n1br7n8cb8h9r32u5sf78o6vwkyzoda21n.png)
![\text{Discount percent}=(40)/(140)* 100](https://img.qammunity.org/2019/formulas/mathematics/high-school/mj8n3wrff0dm6vhny5l4zwu57j2y7xejpx.png)
![\text{Discount percent}=0.2857142857142857* 100](https://img.qammunity.org/2019/formulas/mathematics/high-school/w675tmr8jhv4gon1rbgpybot8zztumqor2.png)
![\text{Discount percent}=28.57142857142857\approx 29](https://img.qammunity.org/2019/formulas/mathematics/high-school/lw8kj6wj20gs0jejyb3jshtbpim8ju5dp3.png)
Therefore, Sammy got approximately 29% discount on his total purchases.