Acandy store makes a 9-pound mixture of gummy candy, jelly beans, and hard candy. the cost of gummy candy is $2.00 per pound, jelly beans cost $3.00 per pound, and hard candy costs $3.00 per pound. the mixture calls for two times as many gummy candy pieces as jelly beans. the total cost of the mixture is $23.00. how much of each ingredient did the store use?

Let

x--------> the amount of gummy candy in pounds

y--------> the amount of jelly beans in pounds

z-------->  the amount of hard candy in pounds

we know that

--------> equation

--------> equation  

--------> equation  

Substitute equation in equation and equation

-----> ------> equation

-----> ------> equation  

using a graphing tool ------> Solve the system of equations

see the attached figure

the solution is the point

Find the value of x

therefore

the answer is

the amount of gummy candy is

the amount of jelly beans is

the amount of hard candy is

(c, 0) i might be wrong so don't put full faith on my answer