There are 150 green marbles and 100 yellow marbles in a bag that contains 250 marbles. If only yellow marbles are added to the bag so that the probability of randomly drawing a yellow marble from the bag becomes 3/5, how many yellow marbles are in the bag?
g = 150
y = 100 + x
total = 100 + x + 150 = 250+x
(100 + x) /(250+x) = 3/5
5(100+x) = 3(250+x)
x = 125
yes
To find out how many yellow marbles need to be added to the bag, we first need to determine the current probability of drawing a yellow marble from the bag.
The total number of marbles in the bag is 250, with 150 green marbles and 100 yellow marbles. The probability of drawing a yellow marble from the original bag can be calculated by dividing the number of yellow marbles by the total number of marbles:
P(yellow) = number of yellow marbles / total number of marbles
P(yellow) = 100 / 250
P(yellow) = 2/5
We are trying to find the number of yellow marbles needed to be added to the bag so that the new probability of drawing a yellow marble becomes 3/5.
Let x represent the number of yellow marbles added to the bag.
The new number of yellow marbles will be (100 + x) and the new total number of marbles will be (250 + x).
The new probability of drawing a yellow marble can be calculated by dividing the new number of yellow marbles by the new total number of marbles:
P(yellow) = (100 + x) / (250 + x)
According to the problem, P(yellow) should be equal to 3/5.
Therefore, we can set up an equation:
(100 + x) / (250 + x) = 3/5
Now we can solve the equation to find the value of x.