A lake is stocked each spring with three species of​ fish, A,​ B, and C. Three​ foods, I,​ II, and​ III, are available in the lake. Each fish of species A requires an average of 1.64 units of food​ I, 2.9 units of food​ II, and 1.67 units of food III each day. Species B fish require 2.5 units of food​ I, 0.92 unit of food​ II, and 0.7 unit of food III daily. Species C fish require 0.91​, 1.63​, and 2.13 units of food​ I, II, and III per​ day, respectively. If 510 units of food​ I, 887 units of food​ II, and 655 units of food III are available​ daily, how many of each species should be​ stocked? Write a linear system of equations. Let x represent the number of fish of species​ A, y represent the number of fish of species​ B, and z represent the number of fish of species C. Choose the correct answer below. 1.64x+2.5y+0.91z=510 2.9x+0.92y+1.63z=887 1.67x+0.7y+2.13z=655 There should be about_____fish of species A._____ fish of species B, and ____ fish of species C.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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A lake is stocked each spring with three species of​ fish, A,​ B, and C. Three​ foods, I,​ II, and​ III, are available in the lake. Each fish of species A requires an average of 1.64 units of food​ I, 2.9 units of food​ II, and 1.67 units of food III each day. Species B fish require 2.5 units of food​ I, 0.92 unit of food​ II, and 0.7 unit of food III daily. Species C fish require 0.91​, 1.63​, and 2.13 units of food​ I, II, and III per​ day, respectively. If 510 units of food​ I, 887 units of food​ II, and 655 units of food III are available​ daily, how many of each species should be​ stocked?

Write a linear system of equations. Let x represent the number of fish of species​ A, y represent the number of fish of species​ B, and z represent the number of fish of species C. Choose the correct answer below.

1.64x+2.5y+0.91z=510

2.9x+0.92y+1.63z=887

1.67x+0.7y+2.13z=655

There should be about_____fish of species A._____ fish of species B, and ____ fish of species C. 

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