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- anonymous

Suppose that both 75% brass and 90% brass are available. How many pounds of each must be mixed to get 150 pounds of 87% brass? My book answers were x=30 pounds of 75% brass and y= 120 pounds of 90% brass. I wanted to know how to get that answer-- what is the equation is it x + y= 150 and ???????

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- anonymous

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- anonymous

30*0.75+120*0.9=150*0.87

- anonymous

so it is x*0.75+y*0.9=150*0.87

- anonymous

plus x+y=150

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- anonymous

and if you solve these two equations than you get the result

- anonymous

I will key in with my scientific calculator. sounds right wait.... thank you

- anonymous

but the 30 and 120 is not given..... that is the answer at the back of my book

- anonymous

yes that is what confused me :D

- anonymous

hey he gave us a clue that brass is made of copper and zinc--- it means the other percentage to make a 100% is a zinc.

- anonymous

but now it is clear.
let x be the 75% one and y the 90%
than we want to make 150 pounds so x+y=150
also we want to get 87% brass
so x*0.75+y*0.9=150*0.87

- anonymous

y=150-x from first equation
you plug this into the second
0.75x +(150-x)*0.9=150*0.87

- anonymous

this gives 4.5=0.15x
so x=30
y=(150-x)=120

- anonymous

I am using scientific calculator using the command matrix....
ok let me do that.

- anonymous

calculators are bad... they do the work for you but you dont think

- anonymous

hehehe! yah.... but we are allowed to use it though in math modeling... i hate math ill be glad to get out in this class... its the only math i will be taking in nursing. thank goodness

- anonymous

:-)

- anonymous

did you get the result by the way?

- anonymous

not yet im still trying to figure out how to key in figures using matrix command.

- anonymous

I did not use a calculator and had the answer 10 minutes ago :-)

- anonymous

hahahaha!

- anonymous

thanks for your time andras--- I got the answer solving manually using your equation. But i donno how to key in the scientific calculator though--thanks for your effort. love this site.

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