during a newspaper drive, all the junior high school students of RM high school collected Grade 7-25 1/2kg, Grade 8-40 2/3kg, Grade 9-50 1/8kg, Grade 10- 35 3/8kg of newspapers.How many kg of newspaper did they collect? what was the average number of kilos collected?
Answer (1)
Answer:Here's how to calculate the total and average kilograms of newspapers collected: 1. Convert mixed numbers to fractions:Grade 7: 25 1/2 kg = (25 * 2 + 1) / 2 kg = 51/2 kgGrade 8: 40 2/3 kg = (40 * 3 + 2) / 3 kg = 122/3 kgGrade 9: 50 1/8 kg = (50 * 8 + 1) / 8 kg = 401/8 kgGrade 10: 35 3/8 kg = (35 * 8 + 3) / 8 kg = 283/8 kg 2. Calculate the total kilograms:Total = (51/2) + (122/3) + (401/8) + (283/8) kgTo add fractions, they need a common denominator. The least common denominator for 2, 3, and 8 is 24.Total = (51/2 * 12/12) + (122/3 * 8/8) + (401/8 * 3/3) + (283/8 * 3/3) kgTotal = (612/24) + (976/24) + (1203/24) + (849/24) kgTotal = 3640/24 kg 3. Simplify the total:Total = 151 16/24 kgTotal = 151 2/3 kg 4. Calculate the average:Average = Total kilograms / Number of gradesAverage = (151 2/3 kg) / 4Average = 37 2/3 kg/grade Answer:The students collected a total of 151 2/3 kg of newspapers.The average number of kilograms collected per grade was 37 2/3 kg.
