Final answer:
Each friend received 3/10 cup of dip after dividing 4/5 of the remaining 3/4 cup of dip equally between them.
Step-by-step explanation:
Jim had 3/4 cup of dip leftover at the end of a party. To determine how much dip each of two friends received when Jim divided 4/5 of the leftover dip, we first multiply the total amount of dip (3/4) by 4/5 to find out how much dip is being divided:
\(\frac{3}{4} \times \frac{4}{5} = \frac{3 \times 4}{4 \times 5} = \frac{12}{20} = \frac{3}{5}\)
Now that we have 3/5 cup of dip to divide between two friends, we split this amount equally:
\(\frac{3}{5} \div 2 = \frac{3}{5} \times \frac{1}{2} = \frac{3 \times 1}{5 \times 2} = \frac{3}{10}\) cup
Therefore, each friend receives 3/10 cup of dip. The correct answer is B. 3/10 cup.