# Math Help - ratio/ algebra problem

1. ## ratio/ algebra problem

Hi

Julie has a bag containing x blue marbles and y red marbles.
The ration of blue marbles to red marbles is 2:3.

The ratio of blue marbles to red is now 2:1.

Question
What is the ratio between x and z?

Thanks.

Hi

Julie has a bag containing x blue marbles and y red marbles.
The ration of blue marbles to red marbles is 2:3.

The ratio of blue marbles to red is now 2:1.

Question
What is the ratio between x and z?

Thanks.
Hi,

you have two equations:

A: x/y = 2/3

B: (x+z)/y = 2/1

From A: y = (3/2)*x

Substitute this term instaed of y in B:

(x+z)/y = 2
x+z = 2*y

x+z = 2*(3/2)*x = 3x

z = 2x Therefore: z/x = 2

3. ## Thanks

Thanks.

So the ratio of x to z is 2:1

Thanks.

So the ratio of x to z is 2:1
Hi,