Question

answer this question and get a medal
A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound. If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?

Answer 1

Lets use algebra solve this

Answer 2

k

Answer 3

You need to set up a system of equations and then solve.
See if you can solve this system of equations.
x+y=10
2.30x+5.60y=10(3.29)
Where x = pounds of peanuts
and y = pounds of cashews

Answer 4

Let x = pound of peanuts and then let
y= pounds of Cashers
wait, I see NinjaDevl is going to assist you, I stand by.

Answer 5

alright ill try

Answer 6

*NinjaDevo Not NinjaDevl

Answer 7

Ok, let me know if you get stuck.

Btw, sorry, didn't mean to steal the question from you @radar

Answer 8

alright

Answer 9

No problem, I was going to set it up exactly as you have, then use substitution to solve the system.

Answer 10

You still there @tylerman866

Answer 11

ya trying to work it out. sorry suck at math it doesn't come easily to me

Answer 12

it = 3.29 right?

Answer 13

It is a system of equations, 2 equations 2 unknowns. It can be solved. Have you got into "system of linear equations" yet?

Answer 14

The 3.29 is what he intends to sell the mixture per pound.

Answer 15

no i haven't gotten into it yet

Answer 16

so what would i do now that i figured out he is selling it for 3.29 a pound

Answer 17

I'll let you take this over from here radar. :)

Answer 18

hey thanks for the help NinjaDevo

Answer 19

NinjaDevo provided two equations:

X + Y = 10 That is the amount of pounds he wants for the cashew/peanuts mix.

2.30X + 5.60Y = 10 * 3.29 is the money the cost of the peanuts and cashews (x pounds) and y pounds.
Mission: Express 2nd equation using only one variable choose the variable (x or y) which you want to use.

Answer 20

That way we will be working with one equation with one variable..........which one did you choose?

Answer 21

x

Answer 22

The choice is really arbitrary, you canwork with either one, ah x is the choice the peanuts.

Answer 23

To work just with x we need to express y in terms of x . Using the first equation
X + Y = 10 Solving for y would give us, y = 10 - x. Do you follow the algebra there?

Answer 24

ya kinda

Answer 25

sorta?

Answer 26

We just subtracted y from both sides....Thats legal Mission continues. Taking the 2nd equation (the big one) we now substitute for y, for y we can now simply use (10-x)
Here goes:

2.30X + 5.60(10-x) = (3.29) (10)

Note that we now have one equation with one unknown, the kinds you have been solving all along in algebra. Do you see how we have substituted for y?

Answer 27

−32.9−2.30X5.60+1

Answer 28

ya i dont got it i guess but i tried but thanks for the help

Answer 29

Mission continues. we now do the operations as indicated by our new equation which has only x
2.30x + 56.0 - 5.6x =32.9 combining
-3.3x + 56.0 = 32.9 subtracting 56 from both sides (to get x by itself)
-3.3x = 32.9 - 56. = -23.1 dividing both sides by -3.3
x = 7
y then must equal 3
7 pounds of peanuts
3 pounds of cashews.

Answer 30

You really didn't try, I thought you were needing help.

Answer 31

so its ten pounds all together, or do you leave them seperated like that??

Answer 32

Focus and practice and you will. Yes the 10 pounds was given by the problem, they wanted you to figure how many pounds of peanuts and how many pounds of cashews you would mix together to be able to sell the mix at 3.29 per pound.

Answer 33

thank you so much!! are you a math teacher??

Answer 34

No, a retired electronic engineer from the FAA

Answer 35

damn that sounds complicated

Answer 36

i guess i just need to apply myself and i could do something similar

Answer 37

Good luck with your studies and good luck with whatever career field you so choose.
You can do what you set your mind to.

Answer 38

thanks