equations and Inequalites
Mathematics

Tutor: None Selected  Time limit: 1 Day 
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.
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
Secure Information
Content will be erased after question is completed.