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The manager of a health food store sells peanuts for $8 a pound and premium cashews for $13 a pound. If he wishes to make a 400 pound cashew and peanut mix that will sell for $9 a pound, how many pounds (lb) of cashews should he use?

Respuesta :

8*12+3*8=6*20

96+24=120

120=120

JeanaShupp

Answer: 80 pounds


Step-by-step explanation:

Let x be the amount of cashews needed to make a 400 pound cashew and peanut mix.

Then the amount of peanuts= 400-x

Now, the price of cashews before mix = 13x

the price of peanuts before mix = 8(400-x)

the price of 400 pound mix = $9(400)=$3600

According to the question:

[tex]8(400-x)+13x=3600\\\Rightarrow3200-8x+13x=3600\\\Rightarrow5x=400\\\Rightarrow\ x=80[/tex]

Hence, he use 80 pounds of cashews .