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Joan's stamp collection consists of three books. Two tenths of her stamps are in the first book, several sevenths are in the second, and there are 303 stamps in the third book. How many stamps are there in Joan's collection?

 Jul 2, 2023
 #1
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3030 stamps

 Jul 2, 2023
 #2
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Joan's stamp collection consists of three books. Two tenths of her stamps are in the first book, several sevenths are in the second, and there are 303 stamps in the third book. How many stamps are there in Joan's collection?  

 

Ditto Sportzin #1.  2/10 in the 1st book & 7/10 in the 2nd book,

that takes care of 9/10 of the total, leaving 1/10 in the 3rd book.  

 

The problem is weirdly stated, and requires thought to make sense. 

.

 Jul 3, 2023
edited by Guest  Jul 3, 2023
 #3
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S==stamps

 

S - (0.2S + (t/7)S ==303, solve for S

 

S ==10605 / [28 - 5t]

Let t ==5

S==10605 / 3

 

S ==3,535 stamps in her 3 books

 

2/10 x 3535 ==707 stamps in her 1st book

5/7  x  3535 ==2525 stamps in her 2nd book.

And 303 stamps in her 3rd book.

 

Total ==707 + 2525 + 303 ==3,535 stamps in her collection.

 Jul 4, 2023
 #4
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Thank you :)

TrentWhite  Jul 5, 2023
edited by TrentWhite  Jul 21, 2023
edited by TrentWhite  Aug 4, 2023

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