Question

The ratio of black marbles to red marbles is 3:2. If there are a total of 25 marbles in a bag,

how
many
black marbles are in the bag?

Answer 1

There are a total of 15 black marbles in the bag.

Explanation:

Well, we know that for every 3 black marbles, there are 2 red marbles. In order to solve this problem, we just need to keep adding equivalent ratios with a proportional relationship until the sum of both numbers is 25.

3:2, 6:4, 9:6, 12:8, 15:10

Since 15 + 10 = 25, we can stop here.

Since the number in front of the colon is the amount of black marbles, then there are a total of 15 black marbles in the bag.

Hope this helps! :D

Answer 2

15 black marbles

Explanation:

So its. A ratio (basically a fraction)

3/2

we add them up so we know how much marbles but not which kind

so we get 5

now we know for every 5 batches there is 3 black and 2 red

so we divide 25/5 to get 5

now we know there are 5, 5 batches of black ad red marbles.

now black is 3 of them so we multiply 5(3) which is 15

Now red is 2 of them so we multiply 5(2). Which is 10

now to check, if we add them up, they equal to 25 which is correct.

basically add the fraction, divide that by the original number, time the quotient by each number in the fraction.