SOLUTION: You have one type of nut that sells for $1.50/lb and another type of nut that sells for $5.00/lb. You would like to have 24.5 lbs of a nut mixture that sells for $2.60/lb. How much

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: You have one type of nut that sells for $1.50/lb and another type of nut that sells for $5.00/lb. You would like to have 24.5 lbs of a nut mixture that sells for $2.60/lb. How much      Log On

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Question 1129722: You have one type of nut that sells for $1.50/lb and another type of nut that sells for $5.00/lb. You would like to have 24.5 lbs of a nut mixture that sells for $2.60/lb. How much of each nut will you need to obtain the desired mixture?
__ lb cheaper nuts
__ lb of expensive nuts

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Like the others but different numbers .


x, amount of the more expensive item
M-x, amount of the less expensive item
L, price per pound less expensive item
H, price per pound more expensive item
T, target price for mix

M=24.5
L=1.5
H=5
T=2.6

Hx%2BL%28M-x%29=TM, equation to account for the cost of the mixture.
Hx%2BLM-Lx=TM
Hx-Lx=TM-LM
%28H-L%29x=TM-LM
highlight%28x=%28TM-LM%29%2F%28H-L%29%29

Substitute the given values for M, T, H, and L. Evaluate x and M-x.