Question

#16. You are the manager of a popular bakery. You have 13 3/5 pounds of flour but need four times that amount for today's baking. How much more flour will you need?

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A
13 3/5 lb


B
27 1/5 lb


C
30 4/5 lb


D
40 4/5 lb


E
50 4/5 lb

Answer 1

To determine how much more flour you need, we first need to find out how much flour you require in total for today's baking.

1. You have 13 3/5 pounds of flour.
2. You need four times that amount:

\[
4 \times 13 \frac{3}{5}
\]

To do this calculation, we first convert \( 13 \frac{3}{5} \) to an improper fraction:

\[
13 \frac{3}{5} = \frac{13 \times 5 + 3}{5} = \frac{65 + 3}{5} = \frac{68}{5}
\]

Now we multiply by 4:

\[
4 \times \frac{68}{5} = \frac{272}{5} = 54 \frac{2}{5} \text{ pounds}
\]

3. Now we know that you need \( 54 \frac{2}{5} \) pounds of flour in total.

4. Next, we need to find out how much more flour you need by subtracting the amount you have from the amount you need:

\[
54 \frac{2}{5} - 13 \frac{3}{5}
\]

Convert both mixed numbers to improper fractions:

\[
54 \frac{2}{5} = \frac{54 \times 5 + 2}{5} = \frac{270 + 2}{5} = \frac{272}{5}
\]
\[
13 \frac{3}{5} = \frac{68}{5}
\]

5. Now subtract the two fractions:

\[
\frac{272}{5} - \frac{68}{5} = \frac{272 - 68}{5} = \frac{204}{5} = 40 \frac{4}{5}
\]

So, you will need **40 4/5 pounds** more flour.

The correct answer is:

**D 40 4/5 lb**