Jessica has several red, white, and black marbles in her pocket. if she draws a marble out of her pocket without looking, the probability of drawing a red marble is
2
5
,
the probability of drawing a white marble is
1
10
,
and the probability of drawing a black marble is
1
2
.
how many marbles of each color could she have? show your work.

Step-by-step explanation:

P(red) = 2/5

P(white) = 1/10

P(black) = 1/2

The number of marbles in her pocket must be a multiple of 5, 10, and 2.  The least common multiple (LCM) of these three numbers is 10.

If she has 10 marbles in her pocket, then:

red = 2/5 (10) = 4

white = 1/10 (10) = 1

black = 1/2 (10) = 5

She could have 4 red marbles, 1 white marble, and 5 black marbles.