A cookie recipe requires #3/4# cup of flour and #1/3# cup of butter to make one batch of cookies. Wendy has 2 cups of flour and #3/4# cup of butter. What is the greatest number of batches she can make?

Answer 1

She has enough butter and flour to make #2 1/4# batches of cookies.

Whichever of the butter and flour runs out first will determine how many batches of cookies she can make.

She needs #3/4# of a cup of flour per batch. She has #2# cups.
So, find the number of batches she can make with the #2# cups:
#2 div 3/4 = 2 xx4/3 = 8/3 = 2 2/3# batches.
She needs #1/3# cup butter per batch. She has #3/4# cup.
So, find the number of batches she can make with the #3/4# cup:
#3/4 div 1/3 = 3/4 xx3/1 = 9/4 = 2 1/4# batches.
#2 1/4 # is less than #2 2/3#, so she will run out of butter first.
She has enough butter and flour to make #2 1/4# batches of cookies.
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Answer 2

Wendy can make 8 batches of cookies with the ingredients she has.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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