A bag holds black, white and green marbles. If one marble is randomly chosen from the bag, the probability that it is black is 3/5. The probability that it is white is equal to the probability that it is green. If there are 9 black marbles, how many marbles are in the bag?

Name: Solved: A bag holds black, white and green marbles. If one marble is randomly chosen from the bag, the probability that it is black is 3/5. The probability that it is white is equal to the probability that it is green. If there are 9 black marbles, how many marbles are in the bag? - MathMaster
Brand: MathMaster
Rating: 4.9 (64 reviews)

likes

318 views

Answer to a math question A bag holds black, white and green marbles. If one marble is randomly chosen from the bag, the probability that it is black is 3/5. The probability that it is white is equal to the probability that it is green. If there are 9 black marbles, how many marbles are in the bag?

$Expert avatar$

Darrell

4.5

100 Answers

Let's assume that the total number of marbles in the bag is "x".

Given that the probability of choosing a black marble is 3/5, we can conclude that there are 3/5 of "x" black marbles in the bag.

Since the probability of choosing a white marble is equal to the probability of choosing a green marble, we can conclude that each of them is equal to 1/5 of "x".

So, the number of black marbles is 3/5 of "x", which is (3/5)x = 9.

To find the value of "x", we can solve the equation:

(3/5)x = 9

To isolate "x", we can multiply both sides of the equation by the reciprocal of 3/5, which is 5/3:

(3/5)x * (5/3) = 9 * (5/3)

x = (9 * 5) / 3

x = 15

Therefore, there are 15 marbles in the bag.

Answer: \boxed{15}.

Frequently asked questions (FAQs)

Math question: Find the slope-intercept equation whose graph passes through the points (2,5) and (-3,9).

Math question: What is the result of combining two logarithms with the same base, one raised to the power of x and the other raised to the power of y?

What is the symmetry axis of a parabola given by the equation 𝑦 = 3𝑥^2 - 2?

New questions in Mathematics

A sample is chosen from a population with y = 46, and a treatment is then administered to the sample. After treatment, the sample mean is M = 47 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen's d?

A=m/2-t isolate t

2(2+2x)=12

I want to divide R$ 2200.00 between Antônio, Beto and Cássia, so that Beto receives half from Antônio and Cássia receives a third of Beto. Under these conditions, how much more will Beto receive than Cássia?

X^2 = 25

7273736363-8

The function g:Q→Q is a ring homomorphism such that g(3)=3 and g(5)=5. What are the values of g(8) and g(9)?

(2x+5)^3+(x-3)(x+3)

The equation of the circle that passes through (5,3) and is tangent to the abscissa axis at x=2 is a.(x-2)^2 (y 3)^2 = 9 b.(x-2)^2 (y-3)^2 = 9 c.(x-2)^2 (y-3)^2 = 4 d.(x-2)^2 (y 1)^2 = 4 e.(x-2)^2 (y-1)^2 = 4

Pedro had 80% of the amount needed to buy a game. Of this amount, you spent 15% on a watch and therefore, you will need to add another R$640.00 to purchase this game. Is the value of the game?