Question

Mrs. Hanson has a potato salad recipe that calls for 238 pounds of potatoes, but she wants to make 112 times as much as the recipe calls for.

The diagram represents the number of pounds of potatoes that Mrs. Hanson needs.

How many pounds of potatoes does Mrs. Hanson need?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answer 1

To find out how many pounds of potatoes Mrs. Hanson needs when she wants to make 112 times the recipe amount, we can multiply the original amount of potatoes by 112.

1. Start with the original amount of potatoes:
\[
238 \text{ pounds}
\]

2. Multiply this amount by 112:
\[
238 \times 112
\]

3. Calculate the multiplication:
- First, split the calculation:
\[
238 \times 112 = 238 \times (100 + 12) = 238 \times 100 + 238 \times 12
\]
- Calculate \( 238 \times 100 = 23800 \)
- Calculate \( 238 \times 12 \):
\[
238 \times 12 = 2856
\]
- Now combine the two results:
\[
23800 + 2856 = 26656
\]

So, Mrs. Hanson needs a total of 26,656 pounds of potatoes.

Now, since you've asked for the answer as a mixed number in simplest form, note that 26,656 is a whole number, and there are no fractions involved. Therefore, as a mixed number, it is simply:

\[
26,656
\]

In the required format, with one of the boxes probably representing the whole number and the other possibly for the fraction (which is zero in this case), you might enter:

Whole number: **26656**
Fraction: **0**

Hence the answer Ms. Hanson needs is 26,656 pounds of potatoes.