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Teddy is delivering boxes of paper to each floor of an office building. Each box weighs 56 pounds, and Teddy himself weighs 140 pounds. If the maximum capacity of an elevator is 2,000 pounds, which of the following inequalities describes the number of boxes, 
b, Teddy can safely take on each elevator trip without going over the capacity?
Choose 1 answer:
(A) 
b >= 32
(B) 
b <= 32
(C) 
b >= 33
(D) 
b <= 33

Teddy is delivering boxes of paper to each floor of an office building. Each box weighs 5656 pounds, and Teddy himself weighs 140140 pounds. If the maximum capacity of an elevator is 22,000000 pounds, which of the following inequalities describes the number of boxes, b b , Teddy can safely take on each elevator trip without going over the capacity?\newlineChoose 11 answer:\newline(A) b32 b \geq 32 \newline(B) b32 b \leq 32 \newline(C) b33 b \geq 33 \newline(D) b33 b \leq 33

Full solution

Q. Teddy is delivering boxes of paper to each floor of an office building. Each box weighs 5656 pounds, and Teddy himself weighs 140140 pounds. If the maximum capacity of an elevator is 22,000000 pounds, which of the following inequalities describes the number of boxes, b b , Teddy can safely take on each elevator trip without going over the capacity?\newlineChoose 11 answer:\newline(A) b32 b \geq 32 \newline(B) b32 b \leq 32 \newline(C) b33 b \geq 33 \newline(D) b33 b \leq 33
  1. Calculate Total Weight: First, we need to calculate the total weight that Teddy can bring into the elevator without exceeding the maximum capacity. To do this, we subtract Teddy's weight from the elevator's maximum capacity.\newlineCalculation: 2,0002,000 pounds (elevator capacity) - 140140 pounds (Teddy's weight) = 1,8601,860 pounds (remaining capacity for boxes).
  2. Determine Boxes Capacity: Next, we need to determine how many boxes can fit into the remaining capacity. We do this by dividing the remaining capacity by the weight of each box.\newlineCalculation: 1,8601,860 pounds ÷\div 5656 pounds per box =33.2142857= 33.2142857\ldots
  3. Round Down to Whole Number: Since Teddy cannot take a fraction of a box, we need to round down to the nearest whole number to find the maximum number of whole boxes Teddy can take.\newlineCalculation: The whole number of boxes is 3333, because taking 3434 boxes would exceed the elevator's capacity.
  4. Express as Inequality: Now we need to express this as an inequality. Teddy can take up to 3333 boxes, but not more, so the inequality should reflect that the number of boxes bb is less than or equal to 3333.\newlineCorrect inequality: b33b \leq 33

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