Question

23

There are 20 or more marbles in a bag. Each
marble is either red or black. Each of the red
marbles weighs 2 grams and each of the black
marbles weighs 3 grams. If the total weight
of the marbles is less than 45 grams, then
which could be the number of black marbles
in the bag?
(A) 4
(B) 5
(C) 6
(D) 7
24

Answer 1

To determine the possible number of black marbles in the bag, we need to find a combination that satisfies the given conditions: the total weight of the marbles is less than 45 grams.

Let's analyze the options:

(A) If there are 4 black marbles, the total weight would be 4 * 3 = 12 grams, which is less than 45 grams.

(B) If there are 5 black marbles, the total weight would be 5 * 3 = 15 grams, which is less than 45 grams.

(C) If there are 6 black marbles, the total weight would be 6 * 3 = 18 grams, which is less than 45 grams.

(D) If there are 7 black marbles, the total weight would be 7 * 3 = 21 grams, which is less than 45 grams.

Based on the given conditions, options (A), (B), (C), and (D) are all valid possibilities for the number of black marbles in the bag.

Therefore, the correct answer is:

(A) 4

(B) 5

(C) 6

(D) 7

Step-by-step explanation: