The number of batches of cookies Lionel can bake is given by x. If each batch of cookies takes 3/2 cups of flour, then x batches of cookies will take 3/2 * x cups of flour.
We know Lionel has at most 68/8 cups of flour, so our inequality is 3/2 * x ≤ 68/8.
To simplify, we can multiply both sides of the inequality by 2/3:
(3/2 * x) * (2/3) ≤ (68/8) * (2/3).
x ≤ 68/8 * 2/3.
Simplifying the right side, we get x ≤ 136/24.
We can simplify this further by dividing the numerator and denominator of the right side by 8: x ≤ 17/3.
Lionel has at most 68/8 cups of flour to bake cookies and a cake. Lionel uses 7/4 cups of flour to make the cake. If each batch of cookies takes 3/2 cups of flour, how many batches of cookies, x, can Lionel bake? Select the inequality that includes the maximum number of batches of cookies Lionel can bake.
1 answer