Equivalent display equivalent part to part ratios in the two column table cups of flour cups of sugar 2:1
14:
:9
20:10
28:14
To find the equivalent part-to-part ratios for the given table, let's first determine the missing values and then calculate the ratios between the two columns.
Here's the given two-column table:
Cups of Flour | Cups of Sugar
2 | 1
14 | ?
? | 9
20 | 10
To determine the missing values, we will set up proportions:
1) For the missing value in the second row (14: ?), we can set up the following proportion:
2/1 = 14/?
Cross-multiplying, we get:
2 * ? = 14 * 1
? = (14 * 1) / 2
? = 7
So, the missing value in the second row is 7.
2) For the missing value in the third row (? : 9), we can set up the following proportion:
2/1 = ?/9
Cross-multiplying, we get:
2 * 9 = ? * 1
? = (2 * 9) / 1
? = 18
So, the missing value in the third row is 18.
Now, let's calculate the equivalent part-to-part ratios:
1) The ratio for the first row (2:1) remains the same.
2) For the second row (14:7), we can simplify it by dividing both numbers by 7:
14/7: 7/7
2:1
So, the ratio for the second row is also 2:1.
3) For the third row (18:9), we can simplify it by dividing both numbers by 9:
18/9: 9/9
2:1
So, the ratio for the third row is also 2:1.
4) The ratio for the fourth row (20:10) is already simplified.
Therefore, the equivalent part-to-part ratios for the given table are:
2:1
2:1
2:1
20:10
To find the equivalent part-to-part ratios, you need to determine the common ratio between the initial ratios.
1. Start with the given ratio in the two-column table: cups of flour : cups of sugar = 2:1.
2. Multiply both sides of the ratio by the same number to maintain the ratio. For example, you can multiply the ratio by 7 to get a common denominator.
2 x 7: 1 x 7 = 14: 7
3. Repeat the same process for the second ratio: 20:10.
Multiply both sides by 2 to find the common ratio.
20 x 2: 10 x 2 = 40: 20
Simplify the ratio by dividing both numbers by their greatest common factor, which is 20.
40 ÷ 20: 20 ÷ 20 = 2: 1
So, the equivalent part-to-part ratios are:
2:1
14:7
and
2:1
40:20