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Posted by **Eric** on Wednesday, January 11, 2012 at 12:19am.

Thanks!

- 7th grade Math -
**Kelly**, Wednesday, January 11, 2012 at 4:49amAssume 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.

- 7th grade Math -
**Eric**, Wednesday, January 11, 2012 at 7:33amHi 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?

Thanks for your help.

- 7th grade Math -
**Reiny**, Wednesday, January 11, 2012 at 9:03amChange 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

- 7th grade Math -
**Eric**, Wednesday, January 11, 2012 at 9:14amHi 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!

- 7th grade Math -
**Reiny**, Wednesday, January 11, 2012 at 11:01amyou 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

- 7th grade Math -
**Eric**, Wednesday, January 11, 2012 at 4:33pmThank you again.

- 7th grade Math -
**Kelly**, Thursday, January 12, 2012 at 8:58amSorry Eric, yes I did mean 43 (typo sorry)

- 7th grade Math -
**ameli**, Wednesday, February 1, 2012 at 4:33pmthanks!!!!!!!!!