Description
Each boat can carry 1200 lbs of people and gear for safety reasons. Assume the average weight of a person is 150 lbs. Each group will require 200 lbs of gear for the boat plus 10 lbs of gear for each person. Part1: create a inequality describing the restrictions on the number of ,p, possible in a rented boat. Part2:find the solution to your inequality. In other words how many people can attend the trip. Write this as an inequality, use p, to represent the number of people.
Explanation & Answer
Number of people in a boat = p
Maximum weight carried by a boat = 1200 lbs
Average weight of a person = 150 lbs
so, total weight of the people on boat = 150*p
Per person weight of gear = 10 lbs
so, total weight of gear (for people) on boat = 10*p
Weight of gear required for boat = 200 lbs
Now, total weight on the boat should be less than or equal to the maximum allowed weight i.e. 1200 lbs
therefore,
150*p + 10*p + 200 <= 1200
160*p <= 1000
1. The required inequality is 160*p <= 1000
2. solve for p
160*p <= 1000
p <= 1000/160
p <= 25/4
As p is the number of people, it has to be a whole number
therefore, p<= 6
or, Maximum of 6 people can ride on the boat