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A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 10 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts​ separately?

There should be __ pounds of cashews in the mixture.
​(Type an integer or a​ decimal.)

Sagot :

Answer:

7.5 pounds

Step-by-step explanation:

The computation is shown below:

let  us assume x be the pounds of cashews,

and the total pounds will be x + 10

Now the equation is  

10($1.5) + x(5.00) = (10 + x)(3.00)

15 + 5x = 30 + 3x

2x = 15

x = 7.5 pounds

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