Question

A bag contains a number of solid-colored marbles, of which 6 are red, 7 are blue, and the rest are yellow. If a person were to draw a marble at random from the bag, the probability that the marble drawn would be red is 14 . How many yellow marbles are in the bag?

1) 11
2) 12
3) 13
4) 14
5) 15

Answer 1

To find the number of yellow marbles in the bag, we can use the probability of drawing a red marble. After solving the equation, we find that there are 0 yellow marbles in the bag.

Step-by-step explanation:

To find the number of yellow marbles in the bag, we need to first determine the total number of marbles in the bag. We know that there are 6 red marbles, 7 blue marbles, and the rest are yellow marbles. Let's assume there are y yellow marbles in the bag.

The probability of drawing a red marble is given as 14. This means that the number of red marbles divided by the total number of marbles equals 14, or 6 / (6 + 7 + y) = 14.

Simplifying this equation, we get 6 = 14(6 + 7 + y), which can be further simplified to 6 = 84 + 98 + 14y.

Combining like terms, we have 14y = -8.

Dividing both sides by 14, we find that y = -8 / 14 = -4 / 7.

Since we can't have a negative number of marbles, we can conclude that there must be 0 yellow marbles in the bag. Therefore, the answer is 0.