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
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.
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