Question

A baker or a 6 1/2 pounds of gluten-free flower each gluten-free cake uses 3/4 pounds of the special flower how many full cakes can the baker make from his this order

Answer 1

The baker can make 8 whole gluten-free cakes from the 6 1/2 pounds of gluten-free flour.

Step-by-step explanation:

In order to find out how many full cakes the baker can make, we need to divide the total amount of gluten-free flour by the amount used for each cake. The baker has 6 1/2 pounds of gluten-free flour, which is equivalent to 13/2 pounds. Each gluten-free cake requires 3/4 pounds of flour. To determine the number of cakes, we divide the total flour by the flour per cake:

(13/2) ÷ (3/4) = (13/2) * (4/3) = 26/3.

Therefore, the baker can make 26/3 cakes. To express this as a mixed number, we divide the numerator (26) by the denominator (3), resulting in 8 with a remainder of 2/3. Since we can't have a fraction of a cake, we take only the whole number part, and the final answer is 8 whole gluten-free cakes.

This means that with the given order of 6 1/2 pounds of gluten-free flour, the baker can produce a total of 8 complete gluten-free cakes.

Answer 2

The baker can make 8 full cakes and 2/3 of a cake from this order.

The baker has 6 1/2 pounds of gluten-free flour. Each gluten-free cake requires 3/4 pounds of the special flour.

To find out how many full cakes the baker can make, we need to divide the total amount of flour by the amount of flour needed for each cake.

First, let's convert the mixed number 6 1/2 to an improper fraction.

6 1/2 = (6 * 2 + 1) / 2 = 13/2

Now, let's divide the total amount of flour (13/2 pounds) by the amount of flour needed for each cake (3/4 pounds).

(13/2 pounds) / (3/4 pounds) = (13/2 pounds) * (4/3 pounds)

When we multiply fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together.

(13/2 pounds) * (4/3 pounds) = (13 * 4) / (2 * 3) pounds

= 52/6 pounds

Now, let's simplify the fraction.

52/6 pounds = (26 * 2) / (3 * 2) pounds

= 26/3 pounds

The baker can make 26/3 pounds of cake from this order.

Since we can't have a fraction of a cake, we need to convert the mixed number back to a whole number and a proper fraction.

26/3 pounds = 8 2/3 pounds