Display the equivalent part to part ratios in the two column table one point cups of flour cups of sugar
2:1
14:--
--:9
20:10
what do i put in the blank spaces?
To fill in the blank spaces in the two-column table, you need to find the equivalent ratios in relation to the given ratios.
To find the equivalent ratios, you can use cross-multiplication.
First, let's find the equivalent ratio for "14: --" in terms of cups of sugar.
Using cross-multiplication:
2 / 1 = 14 / x
This can be simplified to:
2x = 14
Solving for x:
x = 14 / 2
x = 7
So, the equivalent ratio for "14: --" is "14: 7".
Now, let's find the equivalent ratio for "--: 9" in terms of cups of flour.
Using cross-multiplication:
2 / 1 = x / 9
This can be simplified to:
2 * 9 = x
Solving for x:
x = 18
So, the equivalent ratio for "--: 9" is "18: 9".
Therefore, the completed two-column table would be:
cups of flour | cups of sugar
2:1 | 2:1
14:-- | 14:7
--:9 | 18:9
20:10 | 20:10
To fill in the blank spaces, you need to determine the missing values based on the given equivalent ratios.
Given:
1. 2:1
2. 14:__
3. __:9
4. 20:10
To find the missing value in each ratio, you need to cross-multiply and solve for the unknown.
1. For 2:1, there are no missing values.
2. For 14:__, cross-multiplying gives us:
2 * __ = 1 * 14
__ = 14/2
__ = 7
So, the missing value is 7. The ratio becomes 14:7.
3. For __:9, cross-multiplying gives us:
2 * 9 = 1 * __
18 = __
So, the missing value is 18. The ratio becomes 18:9.
4. For 20:10, there are no missing values.
So, the complete table becomes:
2:1
14:7
18:9
20:10
To determine the equivalent part-to-part ratios, you need to find the missing values in the table.
In the first row, the ratio given is 2:1, which means there are 2 cups of flour to every 1 cup of sugar.
In the second row, you need to find the missing value for cups of sugar. To do this, you can set up a proportion using the ratio from the first row:
2 cups of flour / 1 cup of sugar = 14 cups of flour / x cups of sugar
Cross-multiplying, you get:
2 * x = 1 * 14
2x = 14
x = 14 / 2
x = 7
Therefore, in the second row, the ratio is 14:7, or 14 cups of flour to 7 cups of sugar.
In the third row, you need to find the missing value for cups of flour. Again, you can set up a proportion using the ratio from the first row:
2 cups of flour / 1 cup of sugar = x cups of flour / 9 cups of sugar
Cross-multiplying, you get:
2 * 9 = 1 * x
18 = x
Therefore, in the third row, the ratio is 18:9, or 18 cups of flour to 9 cups of sugar.
In the fourth row, the ratio given is 20:10, which means there are 20 cups of flour to every 10 cups of sugar.
So, the final table would look like this:
cups of flour | cups of sugar
-----------------------------
2 | 1
14 | 7
18 | 9
20 | 10