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 i

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 i      Log On


   



Question 1156695: 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

Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.

Just solved and answered under this link

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1156704.html

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1156704.html



Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
e, Empire at $1.40
r, Red delicious at $1.10
g, Golden delicious, at $1.30
r=2e%2B2g----------directly from description

system%28e%2Br%2Bg=21%2C1.4e%2B1.1r%2B1.3g=25%2Cr=2%28e%2Bg%29%29

or by substitution
system%28e%2B2e%2B2g%2Bg=21%2C1.4e%2B1.1%2A2%2A%28e%2Bg%29%2B1.3g=25%29
system%283e%2B3g=21%2C1.4e%2B2.2e%2B2.2g%2B1.3g=25%29
system%283e%2B3g=21%2C3.6e%2B3.5g=25%29

system%28e%2Bg=7%2C3.6e%2B3.5g=25%29