Display the equivalent part-to-part ratios in this two-column table.(1 point)
Cups of Flour Cups of Sugar
2 1
14 ?
? 9
20 10
Cups of Flour Cups of Sugar
2 1
14 7
5 9
20 10
To find the equivalent part-to-part ratios in this two-column table, you can compare the values in each row.
Let's calculate the ratios:
1. For the first row:
Cups of Flour / Cups of Sugar = 2 / 1 = 2:1
2. For the second row:
Cups of Flour / Cups of Sugar = 14 / ? = 14:x
To find the value of "x", you can use cross-multiplication:
14 * 1 = 2 * x
x = (14 * 1) / 2
x = 7
So, the ratio for the second row is 14:7.
3. For the third row:
Cups of Flour / Cups of Sugar = ? / 9 = y:9
To find the value of "y":
2 * 9 = 7 * y
18 = 7y
y = 18 / 7 (approx. 2.571)
So, the ratio for the third row is approximately y:9 or 2.571:9.
4. For the fourth row:
Cups of Flour / Cups of Sugar = 20 / 10 = 20:10 or 2:1
Therefore, the equivalent part-to-part ratios in the two-column table are:
1. 2:1
2. 14:7
3. 2.571:9 (approximately)
4. 2:1
To find the equivalent part-to-part ratios, we need to compare the ratio between the cups of flour and the cups of sugar.
First, let's determine the ratio between the given values for cups of flour (2) and cups of sugar (1). The ratio is 2:1.
Next, let's find the ratio between the unknown value for cups of flour (14) and the missing value for cups of sugar. The ratio is 14:?
Since it's a part-to-part ratio, we can set up a proportion:
2/1 = 14/?
To find the missing value, cross-multiply and solve for the unknown:
2 * ? = 1 * 14
? = (1 * 14) / 2
? = 14 / 2
? = 7
So, the missing value for cups of sugar in the ratio 14:? is 7.
Now, let's find the ratio between the unknown value for cups of flour and the given value for cups of sugar (9). The ratio is ?:9.
Again, we set up a proportion:
2/1 = ?/9
Cross-multiply and solve for the unknown:
2 * 9 = 1 * ?
? = (2 * 9) / 1
? = 18 / 1
? = 18
Therefore, the missing value for cups of flour in the ratio ?:9 is 18.
Lastly, let's find the ratio between the given value for cups of flour (20) and the given value for cups of sugar (10). The ratio is 20:10.
No calculation is needed here as it is a given value.
In summary, the equivalent part-to-part ratios in the two-column table are:
2:1
14:7
18:9
20:10