2/3 of the doughnuts in a box have frosting. 1/2 of the doughnuts with frosting have sprinkles. What fraction of the doughnuts in the box have frosting and sprinkles?

Question

asked Jul 13, 2019 188k views

2 Answers

Bossbarber · Answer 1 · 2019-07-19T12:46:42+0000

Answer:

1/3

Explanation:

We have a total amount T of doughnuts in a box.

2/3 of T have frosting.

We also know that 1/2 of the doughnuts with frosting have sprinkles, that is 1/2 of 2/3 of T.

We write that as
(1)/(2) *((2)/(3)*T) = ((1)/(2)*(2)/(3))*T = (2)/(6)*T = (1)/(3)*T

Therefore, 1/3 of the total of doughnuts have frosting and sprinkles.