Lionel has at most 63/8 cups of flour to bake tortillas and a loaf of bread. Lionel uses 7/4 cups of flour to make the loaf of bread.
If each batch of tortillas takes 3/2 cups of flour, how many batches of tortillas, x, can Lionel bake? Select the inequality that includes the maximum number of batches of tortillas Lionel can bake.
First, let's find out how many cups of flour Lionel has left after making the loaf of bread:
Total cups of flour = 63/8 cups
Cups of flour used for the bread = 7/4 cups
Cups of flour left = 63/8 - 7/4
Cups of flour left = 63/8 - 14/8
Cups of flour left = 49/8
Now we can calculate the maximum number of batches of tortillas Lionel can bake:
Cups of flour per batch of tortillas = 3/2 cups
Number of batches of tortillas, x = (Cups of flour left) / (Cups of flour per batch)
x = (49/8) / (3/2)
x = (49/8) * (2/3)
x = (49 * 2) / (8 * 3)
x = 98 / 24
x = 4.0833...
Since Lionel cannot bake a fraction of a batch, he can bake a maximum of 4 batches of tortillas.
Therefore, the inequality that includes the maximum number of batches of tortillas Lionel can bake is:
x ≤ 4