SOLUTION: Keil is going to make 14 pounds of mixed nuts for a party. If Keil can spend ​$72.00 on nuts and peanuts cost ​$2.00 per pound and fancy nuts cost ​$7.50 perâ

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Question 1136057: Keil is going to make 14

pounds of mixed nuts for a party. If Keil can spend ​$72.00

on nuts and peanuts cost ​$2.00

per pound and fancy nuts cost ​$7.50

per​ pound, how many pounds of each should he​ buy?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Mixture Target COST            72         T
Mixture quantity               14         M
Price per pound Peanuts         2         L
Price per pound Fancy nuts      7.5       H
Quantity of Peanuts                        u
Quantity of Fancy Nuts                     v


system%28u%2Bv=M%2CLu%2BHv=T%29
-
u=M-v
-
L%28M-v%29%2BHv=T
LM-Lv%2BHv=T
Hv-Lv=T-LM
v%28H-L%29=T-LM
highlight%28v=%28T-LM%29%2F%28H-L%29%29
Substitute the given values and evaluate v; and then use this to evaluate u.