One pound of butter is 2 cups.

One pound of butter is 2 cups. • How many pounds of butter do they need for their cookies (they will need 5 5/8 c butter)? lbs • How many cups will be left over? c

The Correct Answer and Explanation is:

To solve this problem, we need to calculate how many pounds of butter are needed and how many cups will be left over.

Given:

• 1 pound of butter = 2 cups.
• The recipe calls for 5 5/8 cups of butter.

Step 1: Convert cups to pounds

Since 1 pound = 2 cups, we can set up a conversion factor to determine how many pounds are needed for 5 5/8 cups of butter.

First, express 5 5/8 as an improper fraction:

5 5/8 = 5 + 5/8 = 40/8 + 5/8 = 45/8 cups.

Now, we know that 1 pound = 2 cups, so to convert 45/8 cups into pounds:pounds=458×12=4516 pounds\text{pounds} = \frac{45}{8} \times \frac{1}{2} = \frac{45}{16} \, \text{pounds}pounds=845​×21​=1645​pounds

So, the number of pounds of butter required is 45/16.

We can simplify this to a mixed fraction:4516=2 pounds and 1316 pounds.\frac{45}{16} = 2 \, \text{pounds} \, \text{and} \, \frac{13}{16} \, \text{pounds}.1645​=2poundsand1613​pounds.

Therefore, they need 2 pounds and 13/16 pounds of butter.

Step 2: Find how many cups will be left over

Since 1 pound of butter equals 2 cups, 2 pounds of butter will give us:2 pounds×2 cups per pound=4 cups.2 \, \text{pounds} \times 2 \, \text{cups per pound} = 4 \, \text{cups}.2pounds×2cups per pound=4cups.

Now, the total required is 5 5/8 cups. If we subtract the 4 cups from the total:55/8−4=15/8 cups.5 5/8 – 4 = 1 5/8 \, \text{cups}.55/8−4=15/8cups.

So, there will be 1 5/8 cups of butter left over.

Final Answer:

• Pounds of butter needed: 2 13/16 pounds.
• Cups of butter left over: 1 5/8 cups.