Word problem...(mixtures) Help please
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Word problem...(mixtures) Help please

[From: ] [author: ] [Date: 11-09-05] [Hit: ]
Cost of cashew in the mixture is $ 9x.Cost of almond in the mixture is 3.5×60 = $ 210.Equating the costs,9x + 210 = 7.9x + 210 = 7.......
Almonds 3.50$ a pound
Cashews 9.00$ a pound
You wan to make a mixture of almonds and cashews that consists of 60 pounds of almonds. The mixture will cost $7.50 per pound. Without varying prices how many pounds of cashews do you add to the 60 pounds of almonds

This is what i set up, but it does not work
3.5(60)+9x=7.5x
If you could show me how you do this step by step I would be very happy!
Thanks guys and girls

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Let there be x pounds of cashew.
There will be (x+60) pounds of nuts in the mixture.
Cost of the mixture will be $ 7.5(x+60).
Cost of cashew in the mixture is $ 9x.
Cost of almond in the mixture is 3.5×60 = $ 210.
Equating the costs,
9x + 210 = 7.5(x+60)
9x + 210 = 7.5x+450
9x − 7.5x = 450 − 210
1.5x = 240
x = 240 / 1.5 = 160.
You should add 160 pounds of cashew.

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Ok, so you know that u have 60 pounds of almonds, and its 3.50 per pound, so

3.5(60) + 9(p) = 7.5 (60 +p)

where p will be the pound in cashews, You need 60+p because this will equal to the total weight of the stuff, not just the cashews like your equation had it.

So...

210 + 9p = 7.5p + 450
1.5p = 240
p = 160

so this will need to have 160 pounds of cashews

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60 pounds of almonds = 60 * $3.50 = $210
total cost = $210 + $9(x).......................where x is the pounds of cashews
cost of pound of mixture = total cost / total pounds
7.50 = (210 + 9x) / (60+x)
(60+x)(7.5) = 210+9x
450 + 7.5x = 210 + 9x
240 = 1.5x
x = 160

160 pounds of cashews costing $1440
60 pounds of almonds costing $210

checking:
total pounds = 220, total cost = $1650

cost per pound = $1650/220 = $7.50

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close...

let x = lbs of cashews

3.5 * 60 + 9x = 7.5(60 + x)

210 + 9x = 450 + 7.5x

1.5x = 240

x = 160 lbs



I hope you are buying for a really big party, it is going to cost $1650.00 for all the nuts
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