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?

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?

Question
Ratios, rates, proportions
asked 2020-10-19
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?

Answers (1)

2020-10-20
1
2.8p+5.3c=330
2
c=100-p
3
2.8p+5.3(100-p)=330
4
2.8+530-5.3p=330
5
-2.5p+530=330
6
-2.5p=-200
7
p=80
8
c=100-(80)
9
c=20
80 lbs of peanuts and 20lbs of cashews
0

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