posted by .

Two bags contain the same number of marbles. In one bag, the ratio of black marbles to white marbles is 4:3. In the other bag, the ratio is 3:2. Which bag contains more black marbles?

Thanks!

Assume that there are 100 marbles in each bag.

Firstly divide 100 by 7 (ratio 4:3) 14.28.

Multiply 14.28 by 4 = 57.12 *57 marbles
Mulitply 14.28 by 3 = 42.84 *53 marbles

Secondly do the same for ratio 3:2

Divide 100 by 5 = 20

Multiply 20 by 3 = 60 marbles
Multiply 20 by 2 = 40 marbles.

Therefore the second bag contains more black marbles.

Hi Kelly,

For this one.

Multiply 14.28 by 3 = 42.84 *53 marbles

Do you mean to say *43 marbles? rounded up from 42.84?

Change the ratio so that the second number is the same
4:3 = 8:6 , first # stands for black, 2nd # stands for white

3:2 = 9:6

clearly the 2nd has more black marbles

Hi Reiny,

Before posting this question, I thought the same way by putting the same amount of white marbles but if you add the total amount of marbles for both bags and that wouldn't be equal since the question mentioned "Two bags contain the same number of marbles".

4:3 = 8:6 (14 marbles)
3:2 = 9:6 (15 marbles)

Let me know if I'm wrong.

Thanks!

you say:
4:3 = 8:6 (14 marbles)
why not keep going...
14 marbles or 28 , or 42 , 56 , ....

3:2 = 9:6 (15 marbles)
why not keep going
15 marbles or 30, 45 , ...

when are they the same ?
What number divides by both 15 and 14 ?
210

So suppose each bag has 210 marbles
first bag: 4:3 ratio -- > 120 black to 90 white
2nd bag: 9:6 --> 126 black to 84 white

Thank you again.

Sorry Eric, yes I did mean 43 (typo sorry)

thanks!!!!!!!!!

## Similar Questions

George has a bag of marbles. Inside the bag are 5 red marbles, 3 green marbles, and 2 blue marbles. He draws out two marbles in a row, without replacement. What is the number of outcomes?
2. ### math

a clear plastic bag containing black marbles and white marbles.draw the box of marbles and shade the marbles to show that 1/4 are black
3. ### math

a bag of marbles can be divided evenly among two, three, or four friends. a) how many marbles might be in the bag b) what is the least number of marbles that can be in the bag?
4. ### pre calculus

A bag contains 4 blue marbles, 2 black marbles, and 3 red marbles. If a marble is randomly drawn from the bag, what is probability that it is not black?
5. ### math

A bag contains 5 red, 4 white and 6 blue marbles. Another bag with 9 blue marbles has the same ratio of blue to white marbles as the first bag. How many white marbles are there in the second bag?
6. ### Math

The ratio of white marbles to blue in Connie's bag of marbles is equals to 2:3. There are more than 20 marbles in the bag. what is a possible number of white marbles and blue marbles in the bag?
7. ### math

The ratio of white marbles to blue marbles in Connie's bag of marbles is equal to 2:3. There are more than 20 marbles in the bag. What is a possible number of white marbles and blue marbles in the bag?
8. ### Math

The ratio of white marbles to blue marbles in Jeyan's bag is 2 to 5. If there are more than 50 marbles in the bag, what is the minimum number of marbles that can be in the bag?
9. ### Math

The ratio of white marbles to blue marbles in Connie's bag of marbles is equal to 2:3. There are more than 20 marbles in the bag. What is a possible number of white marbles and blue marbles in the bag?
10. ### Maths

A bag contains marbles of three different colours red, blue , yellow. 2/5 of the marbles are red. The ratio of the number of blue marbles to the number of yellow marbles is 5:7. What fraction of the marbles in the bag is blue?

More Similar Questions