A pond contains 20 tadpoles, of which f are frog tadpoles and the others are toad tadpoles. If 10 more frog tadpoles are added to the pond, the probability of catching a frog tadpole is doubled. Find f

Respuesta :

Answer:

The value of f is 5

Step-by-step explanation:

Initially, the number of frog tadpoles = f

The initial probability of catching a frog tadpole = f/20

Adding 10 more frog tadpoles,

Number of frog Tadpoles = f +10

Total number of tadpoles in the pond = 20+10 = 30

new probability of catching a frog tadpole = (f+10)/30

New probability of catching a frog tadpole = 2 x Initial probability of catching a frog tadpole

(f+10)/30 = 2 x (f/20)

(f+10)/30 = f/10

f+10 = f x 30/10

f+10 = 3f

2f = 10

f = 5