# A nut wholesaler sells a mix of peanuts and cashews. The wholesaler charges $2.80 per pound for peanuts and$5.30 per pound for cashews. The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix? Yulia 2020-10-19 Answered A nut wholesaler sells a mix of peanuts and cashews. The wholesaler charges$2.80 per pound for peanuts and $5.30 per pound for cashews. The mix is to sell for$3.30 per pound.
How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix?
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## Expert Answer

Cristiano Sears
Answered 2020-10-20 Author has 96 answers

1
$2.8p+5.3c=330$
2
$c=100-p$
3
$2.8p+5.3\left(100-p\right)=330$
4
$2.8+530-5.3p=330$
5
$-2.5p+530=330$
6
$-2.5p=-200$
7
$p=80$
8
$c=100-\left(80\right)$
9
$c=20$
80 lbs of peanuts and 20 lbs of cashews

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