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Nut Brust, Bayfair and Ninja Cat were putting a jigsaw puzzle together. Nut Brust placed 1/4 of the pieces in the puzzle. Bayfair placed 1/5 of the pieces into the puzzle. Ninja Cat placed 55 pieces in the puzzle. How many pieces are in the jigsaw puzzle?

 May 21, 2021
 #1
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Let P  =  the total pieces....so

 

(1/4)P  +  (1/5)P  +   55   =  P

 

[ 5 + 4] / 20   P   +  55   =  P

 

9/20  P      +  55  =  P

 

55  = P  - 9/20  P

 

55   =  (20/20)P  - (9/20)P

 

55  =  (11/20)P                 multiply both sides  by  20/11

 

55 ( 20 /11)   =  P      =      100

 

 

cool cool cool

 May 21, 2021

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