The octane rating of a gasoline is a measure of the amount of isooctane in the gas. Manufacturers recommend using 93-octane gasoline on returned motors. How much 87-octane gas and 95 octane gas should Yousef mix in order to make 10 gal of 93 octane gas for his returned Ford F-150?

- anonymous

- chestercat

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- anonymous

Hello again, I would like to know how to figure out how to make the equation, then solve

- saifoo.khan

Hey!
We have t make 93 octane and 10 gallons.
so our total amount will be 0.93*10.

- saifoo.khan

Moving along:
total gallons will be 10. so 0.95(10-x)
Final equation:
0.87x + 0.95(10-x) = 0.93*10

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## More answers

- saifoo.khan

There's one more method too if this looks hard to you. Let me know if this is hard to understand.

- anonymous

This method looked a bit more difficult than the latter, do you have an easier method?

- saifoo.khan

x + y = 10
87x + 95y = 93*10

- anonymous

I see, I was trying to figure out how you know what goes where?

- saifoo.khan

Haha. I don't know. I should ask that from my brain! :D

- anonymous

You are funny! Thank you! I have so much homework to catch up on!I am behind quite a bit, the class is already on Matrices and also sqrt[?]{?}.... I am VERY behind!

- saifoo.khan

Lol. You're welcome.
Oh! Matrices can be boring.
Square roots are fun!

- anonymous

I don't know why but my equation seems wrong...
x+y=2
4x+y=5
x=-y+5
-4y+20+y=5
-3y+20=5
-3y=-20+5
-3y=-15
-3y/-3=-15/-3
y=5
x=-5+5
x=0???

- saifoo.khan

What's the main question?

- anonymous

How much lowfat milk(1% fat) and how much whole milk(4% fat) should be mixed to make 5 gal of reduced fat milk (2% fat)?

- saifoo.khan

x + y = 5
0.01x + 0.04y = 0.02*5

- anonymous

Hmmm... how do you know what to put where?

- saifoo.khan

It's pretty simple.
For equation 1.
find the total amount.
it will be x+y = 5(total gallons)

- anonymous

Maybe so simple that I over think and get confused! LOL

- saifoo.khan

for equation 2.
Now we have 3 values left.
1%, 4% and 2%
We have to make 2%
so:
0.01x + 0.04y = 0.02 *5
*5 because total are 5 gals.

- anonymous

I see....

- saifoo.khan

Lol, it happens.

- anonymous

Where are you located Saifoo? I am so glad you grabbed my questions!

- saifoo.khan

Lol. I'm located in another continent. Way far from US.
I'm from Pakistan.

- anonymous

Wow... You speak and write English very well! Are you Pakistani or Indian?
I am just curious... It is funny how the internet connects people, and we can find common ground and learn from one another....

- anonymous

Are you in Pakistan now? It is day there I imagine... It is late here in Indiana where I live in the U.S.

- saifoo.khan

No. I'm a Pakistani. Living in Pakistan currently! :D
Hehe. Yup. This world is shorter now. People can connect in seconds.
It's 8:14am here. And i should be heading to bed soon. Haven't slept the whole night. :/
Been studying for exams.

- anonymous

It is very cool to meet someone in another country, again I am glad to know you!

- anonymous

A 17 year old teaching a 43 year old! WONDERFUL!!! :-D

- saifoo.khan

Same here. :)

- saifoo.khan

Haha. Learning anything has no limits.

- anonymous

Well get some rest, I hope that you are okay with helping me, thank you so much sweetie!

- saifoo.khan

Yup! Going in 5mins. If my mom sees me awake, i'm dead. D:
Yes, sure. Knock me if you need any help. You're welcome ma'am.

- anonymous

Hey my Facebook is
Susan-Jaxie Marie Hanna-Jackson, friend me if you would like! I look forward to learning more from you! Thank you so much again!!!

- saifoo.khan

just sent you a request.
You're welcome. :)

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