SOLUTION: I need your help on a word problem. This is it: Oh Nuts! sells pistachio kernels for $10.00 per pound and almonds for $8.00 per pound. How much of each type should be used to make

Question 841637: I need your help on a word problem. This is it: Oh Nuts! sells pistachio kernels for $10.00 per pound and almonds for $8.00 per pound. How much of each type should be used to make a 50-lb blend that sells for $8.80 per pound?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount of pistachio kernels needed
Then 50-x=amount of almonds needed
Well now we know that the total cost of the nuts before they are mixed together ($10x+ $8.00(50-x)) has to equal the total cost of the mixture (50*$8.80), soooo:
10x+8.00(50-x)=50*8.80 ($ understood)
10x+400-8x=440 collect like terms
2x=40
x=20 lb---amount of pistachio kernels needed
50-x=50-20=30 amount of almonds needed
CK
20*10 +30*8=50*8.80
200+240=440
440=440
Hope this helps--ptaylor
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