Jada makes sparkling juice by mixing 2 cups of sparkling water with every 6 cups of apple juice.

A. How much apple juice does Jada need if she uses 6
cups of sparkling water?

B. How much sparkling water does jada need if she uses 15 cups of apple juice.

A=36

B= 2.5

Step-by-step explanation:

If you need 1 cup of sparkling water per 6 cups of apple juice and you use 6 cups of sparking water you do 6x6=36

15 divided by 6 = 2.5

A - 18. B - 5

Step-by-step explanation:

So, the best thing for us to do first is find the ration between apple juice and sparkling water.

Then we can answer the questions once we know the ratio.

We know that for every 6 apple juice, we need 2 sparkling water.

This is a 6 : 2 ratio.

However, we can simplfy this further by dividing the 6 and 2 by using a number that goes into both values, such as 2:

6/2 : 2/2

=

3 : 1

So this is our ratio.

Now, the first questino asks how many apple juice is needed for 6 cups of sparkling water?

We know 3 apple juce is needed for 1 sparkling water, so to find whats needed for 6, lets multiply the 3 by 6:

3*6

=

18

So we need 18 apple juice for 6 sparkling water.

Next we need to find how much sparkling water is needed for 15 cups of apple juice.

We know that for every 3 apple juice we need 1 sparkling water.

We gace 15 apple juice.

To find how much sparkling water we need, lets divide the amount of apple juice by the ratio of apple juice. This will get us how many times more sparkling water we need:

15/3

=

5

Now that we know how many times more sparkling water we need, lets multiply the sparkling water by this:

5*1

=

5

So we need 5 sparkling water for every 15 cups of apple jiuce.

Hope this helps!

f

step-by-step explanation:

f

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions