SOLUTION: A store mixes Kentucky bluegrass worth ​$10 per pound and ryegrass worth $ 14 per pound. The mixture is to sell for ​$11 per pound. Find how much of each should be us

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Question 1089928: A store mixes Kentucky bluegrass worth ​$10 per pound and ryegrass worth $ 14 per pound. The mixture is to sell for ​$11 per pound. Find how much of each should be used to make a 360​-pound mixture.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
  x +   y = 360,        (1)     (x = pounds of Kentucky bluegrass)
10x + 14y = 11*360.     (2)     (y = pounds of ryegrass)


From (1), express y = 360 - x, and substitute into equation (2). You will get

10x + 14(360 - x) = 11*360.


Simplify and solve or x:

10x + 14*360 - 14x = 11*360,

-4x = 11*360 - 14*360 = (-3)*360,

x = 3%2A%28360%2F4%29 = 3*90 = 270.

Answer. 270 pounds Kentucky bluegrass to be mixed with (360-270) = 90 pounds of ryegrass.

Solved.


To see more examples/samples solved mixture problems, to see more details and explanations, look into the lessons
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
in this site.

Read them and become an expert in solution the mixture word problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook in the section "Word problems" under the topic "Mixture problems".



Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
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Kentucky bluegrass worth ​$10 per pound and ryegrass worth $ 14 per pound. The mixture is to sell for ​$11 per pound. Find how much of each should be used to make a 360​-pound mixture.
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Kentucky bluegrass worth ​$L per pound and ryegrass worth $ H per pound. The mixture is to sell for ​$T per pound. Find how much of each should be used to make a M​-pound mixture.
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x, how many pounds of L dollar per pound seeds
M-x, how many pounds of the H dollar per pound seeds
Lx%2BH%28M-x%29=T%2AM
Lx%2BHM-Hx=TM
Lx-Hx=TM-HM
Hx-Lx=HM-TM
%28H-L%29x=HM-TM
highlight%28x=%28HM-TM%29%2F%28H-L%29%29

Substitute using system%28L=10%2CH=14%2CM=360%2CT=11%29 and evaluate x and M-x.