SOLUTION: How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixed nuts that cost $10.25 per pound?
I can't seem t
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-> SOLUTION: How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixed nuts that cost $10.25 per pound?
I can't seem t
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Question 1094014: How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixed nuts that cost $10.25 per pound?
I can't seem to put this into an equation... Found 4 solutions by Alan3354, richwmiller, ikleyn, greenestamps:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! 14c+5*6.50=(5+c)*10.25
14c+32.50=51.25+10.25c
14c-10.25c=51.25-32.50
3.75c=18.75
c=18.75/3.75
c=5
Like the man said equal amounts
14+6.50=20.50
10.25 is half of 20.50
You can put this solution on YOUR website! Always think about how you can find the answer to a problem with as little effort as possible.
The third response you got to this question suggests that you should always use the formal algebraic methods in the references she shows to solve problems like this.
The second response shows a standard algebraic solution, confirming the answer given in the first response.
The first response looks at the cost per pound of the cashews, the mixed nuts, and the final mixture, and sees that the cost per pound of the final mixture is exactly halfway between the costs of the two ingredients; and it immediately concludes from that that the amounts of the two ingredients must be equal.
Which method got to the answer with the least amount of work?
Always spend some time thinking about a problem before you start actually trying to solve it, to see if there is an easy path to the solution.