Question

Antonio has a bag of 300 marbles. He grabbed a handful of marbles from the bag. There were 4 red, 1 orange, 2 blue, and 3 green marbles in his hand. Based on the sample, how many red and blue marbles are in the bag?

Answer 1

180

Explanation:

4 red, 2 blue...

4 + 1 + 2 + 3 = 10

4 + 2 = 6

6/10 = sample

6/10 = x/300

x = 180

Answer 2

if Antonio grabbed 4 red marbles from the bag and there were 300 marbles in the bag, then the proportion of red marbles in the bag is 4/300 = 0.0133 or 1.33%. Similarly, if he grabbed 2 blue marbles from the bag, then the proportion of blue marbles in the bag is 2/300 = 0.0067 or 0.67%.

To find out how many red and blue marbles are in the bag, we can use proportions. If we let x be the total number of red and blue marbles in the bag, then we can set up two equations:

(0.0133)x = 4

(0.0067)x = 2

Solving for x gives us:

x = 300

x = 300

So there are approximately 4 red and 2 blue marbles in Antonio’s bag.

Explanation: