Question

Nina has 18 cups of blueberries. She uses 1.5 cups of blueberries for each batch of blueberry muffins. She wants to keep at least 4 cups of blueberries to make a blueberry pie. Which statement best interprets the solution to the inequality to determine the number of batches of blueberry muffins that Nina can make?

A) Nina can make at least 9 batches of muffins.
B) Nina can make at most 9 batches of muffins.
C) Nina can make at least 14 batches of muffins.
D )Nina can make at most 14 batches of muffins.

Answer 1

To determine the number of batches of blueberry muffins that Nina can make, we need to set up an inequality. Let x be the number of batches of blueberry muffins that Nina can make.

We know that 1.5 cups of blueberries are needed for each batch of blueberry muffins. Therefore, the total number of cups of blueberries used for x batches of blueberry muffins is 1.5x.

Nina wants to keep at least 4 cups of blueberries to make a blueberry pie. So, we have:

18 - 1.5x >= 4

Simplifying the inequality:

1.5x <= 14

x <= 9.33

Since Nina can only make a whole number of batches of blueberry muffins, she can make at most 9 batches of muffins (option B).

Explanation:

Answer 2

The answer is B :)

18 cups of blueberries subtracting 4 that Nina left leave as result 14
14 divided into 1.5 which is a each batch of muffins gives 9 which is the maximum it Nina can do