Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Theres 12 reg, 8 cherry, 10 diet, 6 diet cherry, 8 0-caf and some 0-caf diet 44% chance that the drink is diet. How many 0-caf diet colas?

Full Question: A picnic cooler contains different types of cola: 12 regular, 8 cherry, 10 diet, 6 diet cherry, 8 caffeine-free, and some caffeine-free diet. You pick a can of cola without looking at its type. There is a 44% chance that the drink selected is diet. How many caffeine-free diet colas are in the cooler?

I don't really understand what the question is asking, just looking for some help.

1 Answer

Relevance
  • Alan
    Lv 7
    1 month ago

    12 regular (not diet) 

    8 cherry (not diet) 

    10 regular diet 

    6 diet cherry 

    8 caffiene-free (assuming not diet) 

    X  caffiene free diet 

    number  non-diet = 12 + 8+ 8 =    28  

    number diet  =   10+ 6 +  X  = 16+ X 

    Total Cans  =   28+ 16 + x =   44+ X   

    Percent diet  =  (16+X)/ (44 + X) 

    44/100  = (16+X)/ (44+ X)  

    44(44 + X) = (16 + X)100 

    1936 + 44X  = 100X + 1600 

    56X = 1936-1600 =  336 

    X = 336/56 =   6   

    6 can of caffeine free diet cola are in the cooler. 

    this means 22 of the 50 cans were diet  

    22/50 = 46/100 so 46 percent 

Still have questions? Get your answers by asking now.