SOLUTION: The nut shack hazelnuts for 7.00 per pound and peanuts for 4.50 per pound how much of each type should be used to make a 24 pound mixture that sells for 5.54 per pound round answer

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Question 1197227: The nut shack hazelnuts for 7.00 per pound and peanuts for 4.50 per pound how much of each type should be used to make a 24 pound mixture that sells for 5.54 per pound round answers to the nearest pounds
Pounds of hazelnuts
Pounds of peanut nuts
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!

Let:
=hazelnuts
=peanuts

Therefore:
...........eq.1

.........eq.2

By using the substitution method:
.............eq. 1a (from the first equation)
Substituting this value of into the 2nd equation we can solve for :

.........round to the nearest pounds

Putting this value of into the eq.1a we can solve for :
.............eq. 1a

Therefore the answer is:
pounds of hazelnut
pounds of peanuts

Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
Another routine example of this very common kind of two part mix problem

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hazelnuts for 7.00 per pound and peanuts for 4.50 per pound how much of each type should be used to make a 24 pound mixture that sells for 5.54 per pound
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nuts1 for H per pound and nuts2 for L per pound. how much of each type should be used to make a M pound mixture that sells for T per pound ?
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y pounds of nuts1 at H dollars per pound
M-y pounds nuts2 at L dollars per pound

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Make these substitutions, for YOUR example:
T=5.54 dollars per pound
H=7.00 dollars per pound
L=4.50 dollars per pound
M=24 pounds

Evaluate y, and finish.