A grocer is going to mix three kinds of nuts to make 50 pounds of a mixture that
ID: 3035301 • Letter: A
Question
A grocer is going to mix three kinds of nuts to make 50 pounds of a mixture that will be priced at $5.30 per point. The three kinds of nuts are peanuts that are priced at $4.00 per pound, almonds that are $4.90 per pound, and pistachios that cost $7.20 per pound. The mixture will contain twice as much in almonds as pistachios by weight. How many pounds of each type of nut should the grocer use to make this mixture? A mixture of 36 gallons of chemical A, 18 gallons of chemical B, and 16 gallons of chemical C is required for a certain type of There are three types of commercial sprays available. Spray X is a mixture of 4 parts of chemical A and 1 part of chemical C. Spray Y is simply chemical B. Spray Z is a mixture of 1 part of chemical B and 1 part of chemical C. How many gallons of each of the commercial sprays X, Y, and Z should be mixed together to get the correct mixture for this pesticide?Explanation / Answer
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Given a mixture made of 3 kinds of nuts and weighing 50 pounds and priced at 5.3$ per pound
3 kinds of nuts are
Peanuts = 4$ per pound
Almonds = 4.9$ per pound
Pistachios = 7.2$ per pound
Also given that the mixture shall contain twice as much almonds as pistachios by weight.
Let the quantity of peanuts be x pounds, pistachios be y pounds and hence almond will be 2y pounds in the mixture
Therefore
x + y + 2y = 50 => x + 3y = 50
4x + 4.9(2y) + 7.2(y) = 50 (5.3) => 4x + 17y = 265
Solving the above equations we get
5y = 65
y = 13 pounds
x = 11 pounds
Peanuts = 11 pounds
Almonds = 2*13 = 26 pounds
Pistachios = 13 pounds
Further Kindly note that as per Chegg policies an expert can answer at most 1 question at a time.
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