A recipe for 9 banana nut muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with the amount of flour used. There are 1 1/3 cups of flour available. How many muffins can be made?

x/(1 1/3) = 9/1

or,
3 muffins for each 1/3 cup of flour
you have 4/3 cups, so ...

No worries, I got the answer. But thank you :)

To find out how many muffins can be made with 1 1/3 cups of flour, we need to first determine the relationship between the amount of flour and the number of muffins.

From the given information, we know that 9 muffins can be made with 1 cup of flour. This means the ratio of muffins to flour is 9:1.

Next, we need to determine the ratio of muffins to flour for the available 1 1/3 cups of flour. To do this, we can convert 1 1/3 cups into an improper fraction. Multiplying the whole number (1) by the denominator of the fraction (3) and adding the numerator (1) gives us 4/3. Therefore, 1 1/3 cups of flour is equal to 4/3 cups of flour.

Now, we can use this ratio to determine the number of muffins. Since the ratio of muffins to flour is 9:1, we can write the proportion:

9 muffins / 1 cup of flour = x muffins / 4/3 cups of flour

To solve for x (the number of muffins), we can cross-multiply:

9 * (4/3) = 1 * x

36/3 = x

x = 12

Therefore, 12 muffins can be made with 1 1/3 cups of flour.