## SusanJax 3 years ago 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?

1. SusanJax

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

2. saifoo.khan

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

3. 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

4. saifoo.khan

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

5. SusanJax

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

6. saifoo.khan

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

7. SusanJax

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

8. saifoo.khan

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

9. SusanJax

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!

10. saifoo.khan

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

11. SusanJax

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???

12. saifoo.khan

What's the main question?

13. SusanJax

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)?

14. saifoo.khan

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

15. SusanJax

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

16. saifoo.khan

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

17. SusanJax

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

18. 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.

19. SusanJax

I see....

20. saifoo.khan

Lol, it happens.

21. SusanJax

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

22. saifoo.khan

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

23. SusanJax

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....

24. SusanJax

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

25. 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.

26. SusanJax

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

27. SusanJax

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

28. saifoo.khan

Same here. :)

29. saifoo.khan

Haha. Learning anything has no limits.

30. SusanJax

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

31. 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.

32. SusanJax

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!!!

33. saifoo.khan

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