Question

please help. i really need help

Answer 1

Jeremiah is making a shake by mixing two different protein powders, measured in ounces. The strawberry-flavored powder has 4 grams of protein per ounce. The banana-flavored powder has 3 grams of protein per ounce. He wants the drink to have a total of 6 ounces of powder and contain 22 grams of protein.

Create a system of linear equations to represent the situation that will determine the exact number of ounces needed for each power.
Based on the system you wrote, which algebraic method of solving systems of equations will you choose to solve the system? Explain your choice.
Solve the system algebraically, showing your work. Then interpret the solution by explaining what your solution represents in the context of the problem.

Answer 2

@Hero @cram @mathmale @satellite73

Answer 3

@driftracer305 pwease help him

Answer 4

@Hero can you help me?

Answer 5

please help @Hero

Answer 6

@hero is good at this

Answer 7

lets to it the easy way
if you put x as the number of ounces of 4 gram protein and y as the number of ounces of 3 gram protein, then you know two equations
x+y=64x+3y=22

Answer 8

solve for y in the first equation and get y=6−x then substitute it in to the second equation and get
4x+3(6−x)=22
and solve that one for x

Answer 9

can you please show me how to do the rest please @lupita1995

Answer 10

Your goal here is to come up with two equations in two unknowns. Your first equation is perfect: 4x + 3y = 22. Your second equation becomes perfect if you'll omit the (rates) 4 and 3 from it: x + y + 6.

So, your system of linear equations is x + y = 6 and 4x + 3y = 22. Among the various methods of solving such a system are elimination by substitution (or) addition/subtraction, grahing, determinants, matrices. Which are you going to use to solve this system for x ane y?

Answer 11

idk @lupita1995

Answer 12

i just dont get it

Answer 13

our 4x + 3x = 22
&
4x + 3x = 6 constitute a great start. Note that the first equation is a measure of grams of PROTEIN only (we want a total of 22 grams of protein, don't we?). The second equation should be (but is not yet) a measure of grams of POWDER (not of protein).
Sorry to have been so roundabout there. My point is that the rates 4 and 3 belong in the first equation but NOT in the second equation.

Answer 14

You have 4x + 3y = 22
and x + y = 6
Would you mind multiplying every term of the second equation by -4?
Try it (and while you're doing so, ask yourself why we'd do that).

Answer 15

omg im so confused. can you please show me all the steps including the answer. i would totally understand that way better. please im begging you @lupita1995

Answer 16

Now align these two equations as follows:

4x + 3y = 22
-4x - 4y = -24

Please add them together. Note how the x terms disappear. Your result?

Answer 17

0=1y=-2. is tht right @lupita1995

Answer 18

ok then what do we do

Answer 19

Well, equation (2) x+y=6 is very simple, so would be easy to rewrite as y=(6-x). Then substitute that expression for y, (6-x) into equation (1) thusly:

4x+3y=22→4x+3(6−x)=22.


Solve for x, then go back to equation (2) to get y. that is it

Answer 20

i think that is it

Answer 21

i am also still learning

Answer 22

okay can you please show me how to do it. n=all those numbers and words get me confused

Answer 23

Let
s=oz. of strawberry
And
b=oz. of banana

It says we want 6oz, of powder, so one of the equation is
s+b=6

Understand this so far?

Answer 24

kinda. can you please show me the steps and answers for all the problems please.

Answer 25

Okay. Just let be know if you're confuse anywhere then

Answer 26

ok.

Answer 27

So strawberry is 4 grams of protein per oz.->. 4s
And banan is 3 grams per oz. -> 3b
And there's a total of 22 grams of protein

So second equation is 4s+3b=22

Answer 28

So you're system of equation is

s+b=6
4s+3b=22

Answer 29

thats for the first problem right.

Answer 30

Next question...

It would be easier using substitution because you just have to subtract one of the variable in the first equation to both sides and you're ready to substitute already

Answer 31

ok,so thats the second one and the third is?

Answer 32

The last part...

Using the substitution method I'm gonna solve for b first

s+b=6
-b. -b
------------
s=6-b

Now substitute this into second equation
4(6-b) +3b=22
24-4b+3b=22
24-b=22
-b=-2
b=2

Answer 33

Plug this back to the first equation

s+2=6
So
s=4

Answer 34

wait so the answer for the last problem the answer id s=4 right?

Answer 35

And this means you need 2 oz. of banana powder
And
4 oz. if strawberry powder

Answer 36

ok thank you very much

Answer 37

No problem