SOLUTION: Here is my problem: Define the variables and write a system of three equations. DO NOT SOLVE. You have $25 to spend on picking 21 pounds of three different types of apples in

Algebra ->  Finance -> SOLUTION: Here is my problem: Define the variables and write a system of three equations. DO NOT SOLVE. You have $25 to spend on picking 21 pounds of three different types of apples in       Log On


   

Question 1156704: Here is my problem:
Define the variables and write a system of three equations. DO NOT SOLVE.
You have $25 to spend on picking 21 pounds of three different types of apples in an orchard. The Empire apples cost $1.40 per pound, the Red delicious apples cost $1.10 per pound, and the Golden Delicious apples cost $1.30 per pound. You want twice as many Red Delicious apples as the other two kinds combined.
Define variables:
Equations:
thank you
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let E = pounds of Empire;

    R = pounds of Red;

    G = pounds of Golden.


The equations are


    E + R + G = 21                   (total pounds)

    1.40E + 1.10R + 1.30G = 25.00    (total cost, in dollars)

    R = 2*(E + G).                   (the given constraint)

Answered and completed.