anonymous
  • anonymous
A 50-pound bag of feed is a mixture of two brands. Brand A costs $2.00 per pound and Brand B costs $1.00 per pound. The mixture is worth $1.34 per pound. How many pounds of each brand are in the mixture?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
you have to make the equations first
amistre64
  • amistre64
a+b = 50 a(2) + b(1) = 50(1.34)
amistre64
  • amistre64
b = 50 - a

Looking for something else?

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

More answers

amistre64
  • amistre64
2a + (50-a) = 50(1.34) a + 50 = 50(1.34) a = 50(1.34) - 50
anonymous
  • anonymous
a = 17 b = 33
amistre64
  • amistre64
a = 50(1.34-1) a = 50(.34)
amistre64
  • amistre64
yep...a = 17 b = 50-17 b = 33..... yep :)
amistre64
  • amistre64
kecky; does that make sense?
anonymous
  • anonymous
yep i also got the same answer
anonymous
  • anonymous
yes
amistre64
  • amistre64
good :) youre a smart cookie :)
anonymous
  • anonymous
can you do this step by step
amistre64
  • amistre64
yes...
anonymous
  • anonymous
can you use x and y
amistre64
  • amistre64
what do we know? we know that "a" and "b" equal 50 pounds: a + b = 50 we should solve for one of these... i choose "b" You can use x and y if its easier for you; its just calling it a different name.
amistre64
  • amistre64
lets use x and y: x + y = 50 ... now solve for "y" {or x, your choice}
anonymous
  • anonymous
y=-x+50
amistre64
  • amistre64
good: now we also know that the 50 pounds bag costs 1.34 for "each pound". we know that either x or y at this point have a price "for each pound" right?
anonymous
  • anonymous
yes
amistre64
  • amistre64
lets apply that knowledge: x(2.00) means whatever x is, the price will be 2 dollars for every "x" pounds...makes sense? x(2) + y(1) = 50(1.34) Does this make sense to you? and if not, let me know....
anonymous
  • anonymous
is it just like 2x+1y=50(1.34)
anonymous
  • anonymous
i think amistre is true...
amistre64
  • amistre64
that is exactly correct; now we substitute; or use the "value" we found for "y" in this equation to solve: remember y=-x+50 can you plug that into the equation for me?
amistre64
  • amistre64
thanx tian :)
anonymous
  • anonymous
x y or a b is just a matter of notations, you're free to use what you want
anonymous
  • anonymous
yes 2x+1(-x+50)=1.34(50)
amistre64
  • amistre64
very good "ochin hoorah-show"!! :) do you know how to solve for "x" with this equation now?
anonymous
  • anonymous
2x-1x+50=67
amistre64
  • amistre64
so far so good.... whats next?
anonymous
  • anonymous
put to the xs and take 50-67
amistre64
  • amistre64
lets try that "one step" at a time, so that we get it right and dont trip over anything ok? which one do you want to do first...doesnt matter, pick your favorite.
anonymous
  • anonymous
2-1=1
amistre64
  • amistre64
good; so 2x - 1x = 1x right? we know have: x + 50 = 67 whats next?
anonymous
  • anonymous
67-50=17 x=17
amistre64
  • amistre64
terrific!! now that we know for sure the value of "x"; it equals 17. we can figure out our first equation: x + y = 50 How do we know what value y is now?
anonymous
  • anonymous
50-17=33 y=33
amistre64
  • amistre64
exactly.... good job :) does it make better sense now? to double check our work; we can use these x and y values in the other equation we came up with: x(2) + y(1) = 50(1.34) 17(2) + 33(1) = 67 34 + 33 = 67 67 = 67 ... it checks out great :)
anonymous
  • anonymous
@amistre64 are you a teacher? you explained the solution very well
anonymous
  • anonymous
yes it does thank you!
amistre64
  • amistre64
dind; nah, just old and senile :)

Looking for something else?

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