Lionel has at most 63/8 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? What inequality includes the maximum number of batches of cookies Lionel can bake?

Step-byStep-by-step explanation:

Let x represent the batches of cookies that Lionel can bake.

Lionel has at most 63/8 cups of flour to bake cookies and a cake. Lionel uses 7/4 cups of flour to make the cake. This means that the amount of flour left is

63/8 - 7/4 = (63 - 14)/8 = 49/8

If each batch of cookies takes 3/2 cups of flour, then x batches of cookies will take 3/2 × x = 3x/2 cups of flour. Therefore, the inequality representing the maximum number of batches of cookies Lionel can bake would be

3x/2 ≥ 49/8

x ≥ 49/8 × 2/3

x ≥ 49/12

x≤49/12

Step-by-step explanation:Lionel has at most  cups of flour to bake cookies and a cake. Lionel uses  cups of flour to make the cake.

If each batch of cookies takes  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.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!