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

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(52790) (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.

RELATED QUESTIONS
you have 28 coins, they are nickles and dimes. The value of the coins is $2.05 Define... (answered by checkley71)

An accountant for a company is creating part of the fiscal budget for next year. She has... (answered by solver91311)

I have to create a system of equations from the given word problem and I can't figure out (answered by Edwin McCravy)

You have a total $50 to spend on cold cuts for a party. Ham costs $5.00 per pound and... (answered by ewatrrr,ikleyn)

Here is my question, I must define variables and write adn equation to model each... (answered by narayaba)

well for class we have to read a word problem and define variables i dont know how to do... (answered by josmiceli)

Postcard stamps cost 33¢ and letter stamps cost 46¢. You have 50 stamps worth $25.70. (answered by josgarithmetic)

Small boxes contain DVDs, and large boxes contain one gaming machine. Three boxes of... (answered by ikleyn)

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A... (answered by ikleyn)