Question

A picnic cooler contains different types of cola.12 regular, 8 cherry, 6 diet, 8 caffeine free, 10 diet vanilla, and some diet cherry. U pick a can of cola without looking at its type. There is a 44% chance that the drink selected is diet. How many diet cherry colas r in the cooler? Hint: let c.rep the diet cherry cola, remember that 44% can be written as a fraction. (10 marks)

Answer 1

let c be the number of diet cherry drinks
total drinks = 12+8+6+8+10+c = 52+c
diet drinks = 6+10 + c
= 16+c , I didn't count caffeine free as diet

(16+c)/(52+c) = 44/100 = 11/25
400 + 25c = 572 + 11c
14c = 172
c = a fraction, ---> should not be a fraction, should be a whole number

let's count caffeine free as diet
number of diet = 24+c

(24+c)/(52+c) = 11/25
600+25c = 572 + 11c
14c = a negative, this is even worse !!!

Unless I misread the question, the question is bogus.

Answer 2

I got 6 as the answr when I did the check it worked! Thanks for the help tho! :)