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A nut store normally sells cashews for​ $4.00 per pound and peanuts for​ $1.50 per pound. But at the end of the month the peanuts had not sold​ well, so, in order to sell 90 pounds of​ peanuts, the manager decided to mix the 90 pounds of peanuts with some cashews and sell the mixture for $3.50 per pound. How many pounds of cashews should be mixed with the peanuts to ensure no change in the​ revenue?

Sagot :

The number of pounds of cashews should be mixed with the peanuts to ensure no change in the​ revenue is; 360 pounds

How to Solve Algebra Word Problems?

Let the number of pounds of cashews be x.

Now, we are told that A nut store normally sells cashews for​ $4.00 per pound. Thus;

Cost of x pounds of cashews = $4x

He wants to mix the above with 90 pounds of peanuts and sell the mixture for $3.5 per pound. Thus, the equation here is;

((90 * 1.5) + (4x))/(x + 90) = 3.5

135 + 4x = 3.5(x + 90)

135 + 4x = 3.5x + 315

4x - 3.5x = 315 - 135

0.5x = 180

x = 180/0.5

x = 360 pounds of peanuts

Read more about Algebra Word Problems at; https://brainly.com/question/13818690

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