An unknown number of marbles are placed into a bag. There are 16 blue marbles in the bag. We know that there is a Pr(Blue) = 2/5 chance of drawing a blue marble. How many marbles are there in the bag?
Question
An unknown number of marbles are placed into a bag. There are 16
blue marbles in the bag.
We know that there is a Pr(Blue)
2/5
chance of drawing a blue marble.
How many marbles are there in the bag?
Solution
To find the total number of marbles in the bag, we can use the given probability of drawing a blue marble, which is 2/5. This probability is calculated by dividing the number of blue marbles by the total number of marbles.
We know that there are 16 blue marbles in the bag. Let's denote the total number of marbles as 'T'.
So, we have the equation:
16/T = 2/5
To solve for 'T', we can cross-multiply:
16 * 5 = 2 * T
80 = 2T
Then, divide both sides by 2 to solve for 'T':
T = 80 / 2
T = 40
So, there are 40 marbles in the bag.
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