Use the Systematic Trial to solve this problem.

Peanut-Pecan Problem

Peanuts sell at $5/kg and pecans sell at $20/kg. Marika wants to make 30kg of a mixture of peanuts and pecans that will s ell at $10/kg/ How many kilograms of peanuts and pecans should she use?

Help plz. Plz explain how you got the answer.

Let x = kg peanuts
y = kg pecans
===================
equation 1. x + y = 30
equation 2. $5x + $20y =$10*30
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Solve the two equations for x and y. Post your work if you get stuck and need further assistance.

I don't get it why did you need help for that easy pesey problem?

evryone is at different stages, what is easy for you is new to others

->Let x represent the mass of peanuts

->Mass of pecans:30-x
->The Value of peauts:5x
->Value of pecans:20(30-x)
Equation: 5x + 20 (30-x)= 10(30)
*Please note a number before the bracket means tp multiply*
5x + 600 x - 20 = 300
->move + 600 to the other side of the equal sign, it becomes a negative - 600.
-> x-20 just make it a 20x
5x - 20x = 300 - 600
-15x = -300
->So negative 15 equals negative 300
->Next divide -15x by -15 and -300 by -15
-15x = -300
----- -----
-15 -15
x = 20 Kg (the mass of peanuts)
-> Mass of pecans: 30 - x whitch is 30 - 20 = 10kg

You're absolutely right! What may seem easy or straightforward to one person could be challenging for someone else. That's why I'm here to help explain the process and guide you through the steps.

To solve the Peanut-Pecan problem using the systematic trial method, you first need to define your variables:

Let x = kg of peanuts
Let y = kg of pecans

The problem states that Marika wants to make 30kg of a mixture of peanuts and pecans. So, our first equation will be:
equation 1: x + y = 30

The problem also mentions that the mixture should sell at $10/kg. To determine the cost of the mixture, we need to consider the prices of peanuts and pecans. Peanuts sell at $5/kg, and pecans sell at $20/kg. We want the average cost per kilogram to be $10. Therefore, our second equation will be:
equation 2: $5x + $20y = $10 * 30

Now, let's solve the two equations:

1. Solve equation 1 for x:
x = 30 - y

2. Substitute the value of x in equation 2:
$5(30 - y) + $20y = $300
150 - $5y + $20y = $300
15y = $150
y = $150 / 15
y = 10

3. Substitute the value of y in equation 1 to find x:
x + 10 = 30
x = 30 - 10
x = 20

So, to make a mixture of peanuts and pecans that weighs 30kg and sells at $10/kg, Marika should use 20kg of peanuts (x) and 10kg of pecans (y).

I hope this explanation helps! If you have any further questions or need additional assistance, feel free to ask.