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 

<u>Find the value of x</u>
therefore
<u>the answer is</u>
the amount of gummy candy is
the amount of jelly beans is
the amount of hard candy is
Answer:

Step-by-step explanation:








and 
Therefore, the values of
are 8 and -11.
Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be
and
the amounts of nickels and dimes that Carrie and Joan have, as
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate
by equalizing (Eq. 1) and (Eq. 2):

Then, we reduce the resulting formula by (Eq. 3):



And rest of variable are now determined:




Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Answer: 7x+25y=15
Step-by-step explanation: combine all like terms