Question

A bakery orders 6 1/2
pounds of gluten-free flour. Each gluten-free cake uses 3/4
pound of the special flour. How many full cakes can the bakery make from this order? Your answer should be a whole number.(1 point)

Answer 1

To find out how many full gluten-free cakes the bakery can make, you need to divide the total amount of gluten-free flour by the amount needed for one cake.

The bakery ordered \( 6 \frac{1}{2} \) pounds of gluten-free flour, which can be converted to an improper fraction:

\[
6 \frac{1}{2} = \frac{13}{2} \text{ pounds}
\]

Each gluten-free cake uses \( \frac{3}{4} \) pound of flour. To find the number of cakes, divide the total flour by the flour needed for one cake:

\[
\text{Number of cakes} = \frac{\frac{13}{2}}{\frac{3}{4}}
\]

To divide fractions, multiply by the reciprocal of the second fraction:

\[
\text{Number of cakes} = \frac{13}{2} \times \frac{4}{3} = \frac{13 \times 4}{2 \times 3} = \frac{52}{6}
\]

Now simplify \( \frac{52}{6} \):

\[
\frac{52}{6} = \frac{26}{3} \approx 8.67
\]

Since the bakery can only make whole cakes, we take the whole number part:

\[
\text{Full cakes} = 8
\]

Therefore, the bakery can make **8 full cakes** from the order of gluten-free flour.