Problem
10. Solve the word problem. Simplify, if possible. Cassandra bought $12 \frac{4}{5}$ quarts of juice for her party. She then received more RSVPs and had to buy $3 \frac{1}{8}$ times more juice. How many quarts of juice did Cassandra need for her party? 40 quarts of juice $36 \frac{1}{10}$ quarts of juice $9 \frac{27}{40}$ quarts of juice $15 \frac{1}{2}$ quarts of juice
Solution
Step 1 ：Find the total amount of juice initially bought: \(12 \frac{4}{5} = 12.8\) quarts
Step 2 ：Find the additional juice needed: \(12.8 \times 3 \frac{1}{8} = 12.8 \times 3.125 = 40\) quarts
Step 3 ：Add the initial and additional juice to find the total amount needed: \(12.8 + 40 = 52.8\) quarts
Step 4 ：\(\boxed{52.8}\) quarts of juice are needed for the party
