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The ratio of Skid's pennies to Mickey's pennies was 6 to 5. Skid gave half of his pennies to Mickey. He counted his remaining pennies and found that he now had 15 fewer pennies than Mickey. How many pennies did Skid have at first?

 Apr 16, 2021
 #1
avatar+121004 
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Let  M  be   the  number  of pennies  that  Mickey  has  initially

 

Then  (6/5)M  =  Skid's  pennies  originally

 

So

 

(6/5)M  -  (1/2)(6/5)M  +  15   =  M  + (1/2)(6/5)M    simplify

 

(6/5)M  + 15  =  M  + (1/2)(6/5)M  + (1/2)(6/5)M

 

(6/5)M  +  15 =  M   +  (6/5)M

 

15  = M  =  the number  that Mickey had originally

 

(6/5)(15)  =  18  =  the number that  Skid  had originally

 

 

Proof ....when Skid  givess 1/2 of his pennies to Mickey.....Mickey has  15 + 9  = 24 pennies  and Skid  has  9......so.....Skid  has 15 fewer pennies than Mickey

 

 

cool cool cool

 Apr 16, 2021

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