Ella is making dumplings. If she uses start fraction, 2, divided by, 3, end fraction
3
2
cup of dough for each dumpling, how much dough does Ella need to make 20 dumplings?
Answer
Attempt 1 out of 3
To solve, we'll need to
, because we know the SIZE of the groups and the
, but we don't know the
total number of cups of dough needed.
To find the total amount of dough needed, we can use the formula:
total dough = size of each group × total number of groups
In this case, the size of each group is 2/3 cup of dough and the total number of groups is 20 dumplings.
So the total amount of dough needed is:
total dough = (2/3) × 20
total dough = 40/3
total dough = 13 and 1/3 cups of dough
Therefore, Ella needs 13 and 1/3 cups of dough to make 20 dumplings.
total amount of dough needed.
To find the total amount of dough needed, we can set up a ratio using the number of dumplings and the amount of dough needed per dumpling.
The ratio can be set up as:
Amount of dough per dumpling / Number of dumplings = Total amount of dough needed
In this case, Ella needs 2/3 cup of dough for each dumpling, and she wants to make 20 dumplings.
So the equation becomes:
(2/3) / 1 = x / 20
To solve for x, we can cross-multiply:
20 * (2/3) = x
Multiplying both sides of the equation gives us:
(20 * 2)/3 = x
Simplifying the equation gives us:
40/3 = x
Therefore, Ella needs 40/3 cups of dough to make 20 dumplings.
number of groups. In this case, the SIZE of the groups is 2/3 cup of dough per dumpling and we want to find out how much dough is needed for 20 dumplings.
To find the total amount of dough needed, we can use the formula:
Total dough = Size of each group × Number of groups
In this case, the size of each group is 2/3 cup of dough per dumpling. So, the formula becomes:
Total dough = (2/3) cup/dumpling × Number of dumplings
Now we can substitute the given value of 20 for the number of dumplings:
Total dough = (2/3) cup/dumpling × 20 dumplings
To simplify the calculation, let's convert the fraction into a decimal:
Total dough = (2/3) cup/dumpling × 20 dumplings
= (2/3) × 20
To multiply fractions, we multiply the numerators and denominators separately:
Total dough = (2 × 20) / (3 × 1)
Evaluating the multiplication:
Total dough = 40/3
Therefore, Ella needs 40/3 or 13 1/3 cups of dough to make 20 dumplings.