COMPLETE ratio table
It takes 2 cups of cranberry juice for every for every 3 cups ginger ale
Cranberry juice Ginger ale
2 ?
? 6
6 ?
? 12
What don't you understand about this problem. Why didn't you fill in the first question mark?
2:3
4:6
6:9
8:12
To complete the ratio table, we need to find the missing values by maintaining the same ratio relationship between the two columns.
First, let's solve for the missing value in the second row, where we know that 2 cups of cranberry juice corresponds to 6 cups of ginger ale. To find the missing value, we can set up a proportion:
2 cups of cranberry juice / 3 cups of ginger ale = x cups of cranberry juice / 6 cups of ginger ale
Cross-multiplying, we have:
2 cups of cranberry juice * 6 cups of ginger ale = 3 cups of ginger ale * x cups of cranberry juice
12 cups of cranberry juice = 3x
Dividing both sides of the equation by 3:
4 cups of cranberry juice = x
So, the missing value in the second row is 4 cups of cranberry juice.
Moving on to the missing value in the first row, we know that it takes 2 cups of cranberry juice for every 3 cups of ginger ale. Thus, we can set up another proportion:
2 cups of cranberry juice / 3 cups of ginger ale = x cups of cranberry juice / 6 cups of ginger ale
Cross-multiplying:
2 cups of cranberry juice * 6 cups of ginger ale = 3 cups of ginger ale * x cups of cranberry juice
12 cups of cranberry juice = 3x
Dividing both sides by 3:
4 cups of cranberry juice = x
Therefore, the missing value in the first row is also 4 cups of cranberry juice.
For the remaining two rows, we can use the same method to find the missing values:
6 cups of cranberry juice = (6/2) * 3 cups of ginger ale = 9 cups of ginger ale
For the fourth row:
x cups of cranberry juice = (12/2) * 3 cups of ginger ale = 18 cups of ginger ale
So, the completed ratio table is as follows:
Cranberry juice Ginger ale
2 3
4 6
6 9
12 18