Question

The only three people in a rowboat weigh 105 pounds, 122 pounds, and 133 pounds. If the average weight in the boat is to be no more than 125 pounds per person, what is the maximum weight, in pounds, of a fourth person getting into the boat?

(a) 120 pounds
(b) 125 pounds
(c) 130 pounds
(d) 135 pounds

Answer 1

The maximum weight of a fourth person getting into the boat is 120 pounds.

Step-by-step explanation:

To find the maximum weight of a fourth person getting into the boat, we need to calculate the total weight of the three people in the boat and subtract it from the maximum allowable weight. The total weight of the three people is 105 + 122 + 133 = 360 pounds. The maximum allowable weight is 125 pounds per person, so the maximum weight for a fourth person is 125 - (360 / 3) = 125 - 120 = 5 pounds. Therefore, the maximum weight of a fourth person getting into the boat is 120 pounds (option a).