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Ronch
2 months ago
13

how many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe

d nuts that cost $10.25 per pound
Mathematics
2 answers:
zzz [12.3K]2 months ago
8 0
You should purchase 1/2 pound of cashews and 1/2 pound of peanuts

Leona [12.6K]2 months ago
3 0

Answer:

5 pounds

Step-by-step explanation:

Let x represent the pounds of cashews combined with 5 pounds of peanuts,

Thus, the total weight of the mixture (in pounds) equals x + 5,

∵ the overall cost of x pounds of cashew nuts plus the cost of 5 pounds of peanuts must equal the combined cost of the mixture,

Moreover, the cost of x pounds of cashews is $14 for each pound, while the cost for 5 pounds of peanuts is $6.50, and the overall combined cost for the mixed nuts is $10.25,

⇒  14x + 5(6.5) = 10.25(x+5)

⇒ 14x + 32.5 = 10.25x + 51.25

⇒ 14x + 32.5 - 10.25x = 51.25

⇒ 3.75x = 51.25 - 32.5

⇒ 3.75x = 18.75

⇒ x = 5

Consequently, 5 pounds of cashews would be necessary for the mix.

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