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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

A small airplane can carry passengers, luggage, and mail as long as their total weight is less than 11,700700 pounds. Tuesday's load of mail weighs 490490 pounds. If the average combined weight of each passenger and their luggage is 170170 pounds, what is the greatest possible number of passengers that can travel on the airplane on Tuesday?\newlineChoose 11 answer:\newline(A) 77\newline(B) 88\newline(C) 1010\newline(D) 1212

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Q. A small airplane can carry passengers, luggage, and mail as long as their total weight is less than 11,700700 pounds. Tuesday's load of mail weighs 490490 pounds. If the average combined weight of each passenger and their luggage is 170170 pounds, what is the greatest possible number of passengers that can travel on the airplane on Tuesday?\newlineChoose 11 answer:\newline(A) 77\newline(B) 88\newline(C) 1010\newline(D) 1212
  1. Determine total weight allowed: Determine the total weight allowed for passengers and their luggage.\newlineThe airplane can carry a total weight of 1,7001,700 pounds, and the mail weighs 490490 pounds.\newlineSubtract the weight of the mail from the total weight to find the remaining weight available for passengers and their luggage.\newline1,7001,700 pounds −- 490490 pounds == 1,2101,210 pounds.
  2. Calculate maximum number of passengers: Calculate the maximum number of passengers that can be carried.\newlineThe average combined weight of each passenger and their luggage is 170170 pounds.\newlineDivide the remaining weight available by the average combined weight per passenger to find the maximum number of passengers.\newline1,2101,210 pounds ÷\div 170170 pounds/passenger ≈7.1176\approx 7.1176 passengers.\newlineSince we cannot have a fraction of a passenger, we round down to the nearest whole number.
  3. Determine greatest possible number of passengers: Determine the greatest possible whole number of passengers.\newlineThe greatest possible whole number of passengers is 77, as we cannot exceed the weight limit and we cannot have a fraction of a passenger.

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