Write a system of two equations using x and y to represent the following problem. A chemist is mixing two solutions together.
The chemist wants 100 gallons when complete. He is mixing a 24% solution with a 50% solution to get a 36% solution. How many gallons of each will he use?

- anonymous

- jamiebookeater

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

call the amount of 50% solution x and then the amount of 36% solution is 100-x

- anonymous

oops
let me start again. call the amount of 50% solution x and the amount of 24% solution is then 100-x

- anonymous

so
\[.5x+.24(100-x)=.36\times 100=36\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

this is what you need to solve.
\[.5x+24-.24x=36\]
\[.26x+24=36\]
\[.26x=12\]
\[x=\frac{12}{.26}=46.15\] rounded

- anonymous

but if i would read correctly it only says "wrote two equations"
the first would be
\[x+y=100\] and the second would be
\[.5x+.24y=.6\]

- anonymous

rather
\[.5x+.24y=36\]

- anonymous

Ah i see (:

- anonymous

So then...

- anonymous

it doesn't say to solve them does it?

- anonymous

x+y = 100
.24x + .5y = .36 * 100

- anonymous

Yea i do need to solve them. i can prolly do that on my own tho.... :P retaking assignments from the begining of the year >.< Dont remember a thing

- anonymous

if you want to solve it a systems you have
\[x+y=100\]
\[.5x+.24y=36\]

- anonymous

multiply the bottom equation by -2 and the x's will drop out

- anonymous

\[x+y=100\]
\[-x-.48y=-72\]

- anonymous

dude, thats weird. let y = 100 - x and substitute that into the second equation,

- anonymous

add them and the x's drop out to get one equation in y
\[.52y=28\]
\[y=\frac{28}{.52}=53.846\] rounded

- anonymous

Naw he is doing elimination, thats substitution... i suck at substitution.. so go ahead and do elimination.. lol

- anonymous

i did that first.

- anonymous

Okay (:

- anonymous

cantorset first line i used 100-x for y. but what is odd is that usually these problems are cooked up to give nice integer answers. this one is not.

- anonymous

unless my arithmetic is wrong. i got two ugly decimal answer. it is 50%, 24% and 36% yes?

- anonymous

oh ok

- anonymous

i trust your work , but first you want to multiply both sides to remove the decimal, if youre doing elimination

- anonymous

for the second equation, multiply both sides by 100 first

- anonymous

you try it and see if you don't get something ugly. maybe i made a mistake. really please try it.

- anonymous

ok

- anonymous

still get
\[x=\frac{12}{.26}=\frac{1200}{26}=46.153846...\]

- anonymous

sat, bear with me, im tutoring 3 other people, sorry

- anonymous

Oh yea! ^^ i think you said something about being a online tutor for money or something :P Continue though satellite (:

- anonymous

and they COMPLAIN, lol

- anonymous

yes real coin

- anonymous

They people your tutoring? Haha

- anonymous

You must be making bank....
lmfao.. kidding (:

- anonymous

yup

- anonymous

not really, im working like a dog

- anonymous

Wow... i sure cant wait to get done with high school..... :P lol

- anonymous

So i can go on to work like a dog... and make no money... sounds wonderful :P lol

- anonymous

still get x=46.15 rounded making y = 53.85 rounded

- anonymous

Okay (: Thanks!

- anonymous

welcome

- anonymous

why are you doing this and also \[b^0\] at the same time? odd

- anonymous

Haha i am retaking stuff i learned at the begining of the year :P I seriously barely remember anything. lol

- anonymous

good luck. it will be over soon enuf

- anonymous

Ya i sure hope so :P At least i got this cite tho! ^^

- anonymous

what is b^0 ?

- anonymous

Idk how to explain it... ^_T just know im doing it :P I bet satellite can tho (:

- anonymous

wait, he said youre "taking" b^0

- anonymous

Haha no its just something him and i think its polpak showed me how to do.

- anonymous

Lilly allen sucks,

Looking for something else?

Not the answer you are looking for? Search for more explanations.