a recipe calls for 2/3 cups of chocolate chips, how many batches can be made with 6 cups of chocolate chips?
divide the total amount by the amount needed for each batch, giving the number of batches:
6/(2/3) = 6 * 3/2 = 9
To determine the number of batches that can be made with 6 cups of chocolate chips when a recipe calls for 2/3 cups of chocolate chips, we need to divide the total amount of chocolate chips available by the amount required per batch.
To do this, we can set up a proportion:
2/3 cups of chocolate chips corresponds to 1 batch,
6 cups of chocolate chips corresponds to x batches (what we want to find).
We can express this proportion as:
(2/3) cups of chocolate chips / 1 batch = 6 cups of chocolate chips / x batches.
To solve for x, we can cross-multiply:
(2/3) * x = 6.
Next, we isolate x by multiplying both sides of the equation by the reciprocal of (2/3):
x = 6 * (3/2).
Multiplying 6 by 3/2, we get:
x = 18/2 = 9.
Therefore, 9 batches can be made with 6 cups of chocolate chips.