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There were 30 cans of soda in the fridge. 60% were Coke and the rest were Pepsi. Noah drank a few cans of Coke and now 75% of the soda cans in the fridge are Pepsi. How many cans of Coke did Noah drink?

 Aug 4, 2021
 #1
avatar+191 
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30 cans in total. 60% coke, 40% pepsi.

 

that means 18 cans is coke and 12 cans is pepsi.

 

After drinking some amount of cans of coke, now 25% is coke and 75% is pepsi.

 

the remaining amount has to be divisible by 4, so trying is probably faster than using equations.

 

if remaining 28, coke 16- no good

if remaining 24, coke 12- no good

remaining 20, coke 8- no good, but close

remaining 16, coke 4- that's our answer, and that means Noah drink 14 cans of coke.

 Aug 4, 2021
 #2
avatar+36916 
+3

Using OJ start:

30 cans in total. 60% coke, 40% pepsi.

 

that means 18 cans is coke and 12 cans is pepsi.

  75% of x is now Pepsi     .75x = 12

                                            x = 16 cans total

there WAS 30   30 -16 = 14 cans of Coke were consumed by diabeticNoah !

 Aug 4, 2021

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