Answer:
There are 6 strawberry candies in the bag
Explanation:
The probability of an event occurring = (The number of required outcome) ÷ (The number of possible outcome)
The given parameters in the question are;
The number of different types of fruit in Marina's bag = 3
The type of fruits in the bag = Lemon, watermelon, strawberry
The probability of choosing strawberry, P = 1/5
The number of lemon candies in the bag = 16
The number of watermelon candies in the bag = 8
Let, 'x', represent the number of strawberry candies in the bag
Therefore, by the definition of probability, we have;
P = 1/5 = x/(x + 16 + 8)
x + 16 + 8 = 5·x
16 + 8 = 5·x - x = 4·x
24 = 4·x
∴ x = 24/4 = 6
The number of strawberry candies in the bag, x = 6 strawberry candies.