A jar contains only red, white

Question

and blue marbles. The number of
red marbles is 4/5 and the
number of white ones is 3/4. If
there are 470 marbles, how many
of them are blue?
A. 184
B. 150
C. 200
D. 120

Answer 1

The total number of marbles is 470.
Let's denote the number of red marbles as R, the number of white marbles as W, and the number of blue marbles as B.

Based on the given information, we have the following equations:
R + W + B = 470 (equation 1)
R = (4/5) * 470 = 376 (equation 2)
W = (3/4) * 470 = 352.5 (equation 3)

We know that the number of marbles must be a whole number, so we cannot have 352.5 white marbles. Therefore, we can conclude that one or both of the given fractions (4/5 and 3/4) must be incorrect.

Let's compute the sum of the fractions to determine if they are valid:

4/5 + 3/4 = 16/20 + 15/20 = 31/20 > 1

The sum is greater than 1, which means the fractions are incorrect.

Therefore, we cannot determine the number of blue marbles using the given information.