NEED HELP ASAP!!!!! WILL MARK BRAINLIEST!! How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nuts that cost $1.50 per pound?

Respuesta :

The answer is 4 u can get that by putting it in a mixture chart

Answer:

5 pounds

Step - by - step Explanation:

Let x pounds of cashews mixed with 5 pounds of peanuts,

Let x pounds of cashews mixed with 5 pounds of peanuts,So, the quantity of the resultant mixture( in pounds ) = x + 5,

Let x pounds of cashews mixed with 5 pounds of peanuts,So, the quantity of the resultant mixture( in pounds ) = x + 5,∵ total cost of x pounds of cashew + total cost of 5 pounds of peanuts = total cost of the mixture,

Let x pounds of cashews mixed with 5 pounds of peanuts,So, the quantity of the resultant mixture( in pounds ) = x + 5,∵ total cost of x pounds of cashew + total cost of 5 pounds of peanuts = total cost of the mixture,Also, x pounds of cashew costs $14 per pound, 5 pounds of peanuts costs $ 6.50 and the mixed nuts cost $ 10.25,

Let x pounds of cashews mixed with 5 pounds of peanuts,So, the quantity of the resultant mixture( in pounds ) = x + 5,∵ total cost of x pounds of cashew + total cost of 5 pounds of peanuts = total cost of the mixture,Also, x pounds of cashew costs $14 per pound, 5 pounds of peanuts costs $ 6.50 and the mixed nuts cost $ 10.25,⇒  14x + 5(6.5) = 10.25(x+5)

Let x pounds of cashews mixed with 5 pounds of peanuts,So, the quantity of the resultant mixture( in pounds ) = x + 5,∵ total cost of x pounds of cashew + total cost of 5 pounds of peanuts = total cost of the mixture,Also, x pounds of cashew costs $14 per pound, 5 pounds of peanuts costs $ 6.50 and the mixed nuts cost $ 10.25,⇒  14x + 5(6.5) = 10.25(x+5)⇒ 14x + 32.5 = 10.25x + 51.25

Let x pounds of cashews mixed with 5 pounds of peanuts,So, the quantity of the resultant mixture( in pounds ) = x + 5,∵ total cost of x pounds of cashew + total cost of 5 pounds of peanuts = total cost of the mixture,Also, x pounds of cashew costs $14 per pound, 5 pounds of peanuts costs $ 6.50 and the mixed nuts cost $ 10.25,⇒  14x + 5(6.5) = 10.25(x+5)⇒ 14x + 32.5 = 10.25x + 51.25⇒ 14x + 32.5 - 10.25x = 51.25

Let x pounds of cashews mixed with 5 pounds of peanuts,So, the quantity of the resultant mixture( in pounds ) = x + 5,∵ total cost of x pounds of cashew + total cost of 5 pounds of peanuts = total cost of the mixture,Also, x pounds of cashew costs $14 per pound, 5 pounds of peanuts costs $ 6.50 and the mixed nuts cost $ 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

Let x pounds of cashews mixed with 5 pounds of peanuts,So, the quantity of the resultant mixture( in pounds ) = x + 5,∵ total cost of x pounds of cashew + total cost of 5 pounds of peanuts = total cost of the mixture,Also, x pounds of cashew costs $14 per pound, 5 pounds of peanuts costs $ 6.50 and the mixed nuts cost $ 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

Let x pounds of cashews mixed with 5 pounds of peanuts,So, the quantity of the resultant mixture( in pounds ) = x + 5,∵ total cost of x pounds of cashew + total cost of 5 pounds of peanuts = total cost of the mixture,Also, x pounds of cashew costs $14 per pound, 5 pounds of peanuts costs $ 6.50 and the mixed nuts cost $ 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

Let x pounds of cashews mixed with 5 pounds of peanuts,So, the quantity of the resultant mixture( in pounds ) = x + 5,∵ total cost of x pounds of cashew + total cost of 5 pounds of peanuts = total cost of the mixture,Also, x pounds of cashew costs $14 per pound, 5 pounds of peanuts costs $ 6.50 and the mixed nuts cost $ 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 = 5Hence, 5 pounds of cashews would be mixed

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