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Jason bought some bookmarks and gave half to them to Kelvin. Kelvin

bought some stickers and gave half of them to Jason.

 

Then Jason gave 7 bookmarks to his brother and found that he had 1/9 as

many bookmarks as stickers left. Kelvin gave 12 stickers to his younger 

brother and found that he had 1/6 as many bookmarks as stickers left.

   

      (a) How many stickers did Kelvin have in the end?

      (b) How many bookmarks did Jason buy?

 Sep 22, 2021
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B==Bookmarks,     S==Stickers.

 

Jason ==1/2B  +  1/2S

Kelvin==1/2S  +  1/2B

 

Jason ==[1/2B  +  1/2S] - 7

                 [1/2B - 7] / [1/2S] ==1 / 9...................(1)

 

Kelvin==[1/2B] /[1/2S - 12] ==1/6....................(2), solve for B, S

 

B==50,     S==324

 

(a) Kelvin had in the end==[1/2*324 - 12[==162 - 12 ==150 stickers.

 

(b)Jason bought ==50 Bookmarks.

 Oct 6, 2021

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