A small airplane can carry passengers, luggage, and mail as long as their total weight is less than 1,700 pounds. Tuesday's load of mail weighs 490 pounds. If the average combined weight of each passenger and their luggage is 170 pounds, what is the greatest possible number of passengers that can travel on the airplane on Tuesday?Choose 1 answer:(A) 7(B) 8(C) 10(D) 12
Q. A small airplane can carry passengers, luggage, and mail as long as their total weight is less than 1,700 pounds. Tuesday's load of mail weighs 490 pounds. If the average combined weight of each passenger and their luggage is 170 pounds, what is the greatest possible number of passengers that can travel on the airplane on Tuesday?Choose 1 answer:(A) 7(B) 8(C) 10(D) 12
Determine Weight Limit: Determine the total weight allowed for passengers and their luggage. The total weight the airplane can carry is 1,700 pounds, and the mail weighs 490 pounds. Subtract the weight of the mail from the total weight to find the remaining weight available for passengers and their luggage. Calculation: 1700 pounds −490 pounds =1210 pounds
Calculate Maximum Passengers: Calculate the maximum number of passengers that can be carried based on the average weight.The average combined weight of each passenger and their luggage is 170 pounds.Divide the remaining weight available by the average weight per passenger to find the maximum number of passengers.Calculation: 1210 pounds /170 pounds per passenger =7.11764706
Round Down Passengers: Determine the greatest whole number of passengers that can travel. Since we cannot have a fraction of a passenger, we need to round down to the nearest whole number. The greatest whole number of passengers is 7.