Mercedes bought some vanilla cupcakes and some chocolate cupcakes. if she
eats one of the vanilla cupcakes, then 1/7 of the remaining cupcakes will be
vanilla. if mercedes instead eats two of the chocolate cupcakes, then 1/5 of the
remaining cupcakes will be vanilla. how many cupcakes did mercedes buy?

Mercedes bought 22 cupcakes

Explanation

Let number of vanilla cupcakes=x

Number of chocolate cupcakes=y

When she eats 1 vanilla cupcake

Number of vanilla cupcakes remaining=x-1

Number of cupcakes remaining=x+y-1

Given

(1/7)(x+y-1)=x-1  (1)

When she eats two chocolate cupcakes instead

Number of chocolate cupcakes remaining=y-2

Given that

(1/5)(x+y-2)=x     (2)

Consider equation(1)

(1/7)(x+y-1)=x-1  

x+y-1=7x-7  

7x-x-y=6

6x-y=6  (3)

Consider equation (2)

(1/5)(x+y-2)=x  

x+y-2=5x  

5x-x-y=-2  

4x-y=-2  (4)      solving (3)and (4)using  

elimination method   we get x=4  

y=18  

Total number of cupcakes Mercedes bought=x+y=4+18=22  

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.

step-by-step explanation:

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