Question

The pizza shop sells artwork by local artists. For each piece it sells, the shop receives a 15 percent commission. The most expensive piece it ever sold was priced at $225. Which expressions represent how much the shop received? Check all that apply.A. (225)(1.15) B.(225)(0.15) C.(225)(0.85) D.225 – [(225)(0.15)] E.225 – [(225)(0.85)]
Please send real answers and Hurry!!!!!

Answer 1

Given:

• Price of the expensive art piece sold by the pizza shop = $$225$
• Commission that shop receives for selling each piece = $15$% of the price of art piece sold.

To find:

To find the expression(s) that best applies to the commission received by the shop for selling the expensive art piece, from the given options:

A. $225(1.15)$

B. $225(0.15)$

C. $225(0.85)$

D. $225-((225)(0.15))$

E. $225-((225)(0.85))$

To be recollected:

Percentage: Percentage is the expression of any number as ratio to $100$. For example, $x$% is expressed as "$x/100$".

And, considering another example, finding $x$% of $y$ means the calculation is done as "$(x/100)y$".

Step-wise Solution:

Step-1:

• In the given data, it is mentioned that the shop receives $15$% commission for each art piece sold.
• The cost of expensive art piece sold by the shop is $$225$.
• From the above data, the amount received by the pizza shop for selling the expensive art piece is calculated as follows:

$=(15/100)*225\\=0.15*225\\=33.75$

∴ The pizza shop receives a commission of $$33.75$.

Step-2:

• This step involves cross-checking of the given options.
• From the given options, the expression(s) which give(s) final answer as $$33.75$ is/are considered to be the correct option(s).
• Consider the option $A$:

$=225(1.15)\\=258.75$

⇒This answer is not equal to $$33.75$. Hence, option $A$ does not represent the required amount received by the shop.

• Consider option $B$:

$=22.5(0.15)\\=33.75$

⇒ This answer is equal to the required amount of $$33.75$ and hence option $B$ represents the expression of amount received by the shop.

• Consider option $C$:

$=225(0.85)\\=191.25$

⇒This answer is not equal to $$33.75$. Hence, option $C$ does not represent the required amount received by the shop.

• Consider option $D$:

$=225-((225)(0.15))\\=191.25$

⇒This answer is not equal to $$33.75$. Hence, option $D$ does not represent the required amount received by the shop.

• Consider option $E$:

$=225-((225)(.85))\\=225-191.25\\=33.75$

⇒ This answer is equal to the required amount of $$33.75$ and hence option $E$ represents the expression of amount received by the shop.

Final Answer:

The options representing the equation of the amount received by the shop are option $B$ and option $E$.

Answer 2

Answer:

25.50

Step-by-step explanation:

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