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A market had only cookies and donuts.The donuts were the 3/5 of the market and were 5 more than cookies.How many cookies were there?

 Apr 19, 2017
 #1
avatar+26396 
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A market had only cookies and donuts.

The donuts were the 3/5 of the market and were 5 more than cookies.

How many cookies were there?

 

Let d = donuts
Let c = cookies

 

(1)c=d5(2)35(c+d)=d|c=d535(d5+d)=d35(2d5)=d3(2d5)=5d6d15=5dd=15c=d5c=155c=10

 

There were 10 cookies.

 

laugh

 Apr 19, 2017
 #2
avatar+130466 
+1

 

Since the donuts were 3/5 of the total....let  the number be represented by (3/5)T where T is the total of donuts and cookies

 

Then the number of cookies must have been (2/5)T

 

And we know that adding 5 to the number of cookies = the number of donuts

 

So we have

 

(3/5)T   =  (2/5)T + 5       subtract  (2/5)T from both sides

 

1/5T  =  5                      multiply through by 5

 

T  =  25

 

So.....the number of cookies  =  (2/5)(T) = (2/5)(25)  = 10

 

 

 

cool cool cool

 Apr 19, 2017

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