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.

May 12th, 2015

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 

May 12th, 2015

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May 12th, 2015
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