Final answer:
To find the number of batches of cookies Maria has made, use a proportion: 2/3 cup / 1 batch = 10 cups / x batches. Solve for x to find the number of batches.
Step-by-step explanation:
To find the number of batches of cookies Maria has made, we need to use a proportion.
If she used 2/3 cup of sugar per batch, and there are 10 cups of sugar left in the bag, we can set up the proportion:
2/3 cup / 1 batch = 10 cups / x batches
Cross-multiplying gives us: 2/3 * x = 10
Dividing both sides by 2/3 gives us: x = 10 / (2/3)
Dividing 10 by 2/3 is the same as multiplying 10 by the reciprocal of 2/3:
x ≈ 10 * (3/2) = 15
So, Maria has made approximately 15 batches of cookies.