1. **Problem:** A class works on a project for 2 hours 45 minutes on Monday and 1 hour 55 minutes on Tuesday. Their goal is 360 minutes of total work. How many more minutes do they need? 2. **Convert all times to minutes:** - Monday: $2$ hours $45$ minutes $= 2 \times 60 + 45 = 120 + 45 = 165$ minutes - Tuesday: $1$ hour $55$ minutes $= 1 \times 60 + 55 = 60 + 55 = 115$ minutes 3. **Calculate total minutes worked:** $$165 + 115 = 280$$ minutes 4. **Calculate remaining minutes needed to reach goal:** $$360 - 280 = 80$$ minutes 5. **Answer:** They need $80$ more minutes to reach their goal. --- 2. **Problem:** A roll of fabric is 27 yards long. A designer uses 12 feet for one costume and then uses $3 \times \frac{2}{3}$ yard for accessories. How many feet of fabric remain? 3. **Convert yards to feet:** - Total fabric: $27$ yards $= 27 \times 3 = 81$ feet - Accessories fabric: $3 \times \frac{2}{3} = 2$ yards $= 2 \times 3 = 6$ feet 4. **Calculate total fabric used:** $$12 + 6 = 18$$ feet 5. **Calculate remaining fabric:** $$81 - 18 = 63$$ feet 6. **Answer:** $63$ feet of fabric remain. --- 3. **Problem:** A board is 16 feet long. A carpenter cuts 53 inches from one end and 4 feet 9 inches from the other. How many inches of board are left? 4. **Convert all lengths to inches:** - Board length: $16$ feet $= 16 \times 12 = 192$ inches - Cut 1: $53$ inches - Cut 2: $4$ feet $9$ inches $= 4 \times 12 + 9 = 48 + 9 = 57$ inches 5. **Calculate total cut length:** $$53 + 57 = 110$$ inches 6. **Calculate remaining board length:** $$192 - 110 = 82$$ inches 7. **Answer:** $82$ inches of board remain.