A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. He plans to use 40 pounds of nuts worth 75 cents a pound. What should be the price of the other type of nuts he uses? Answer:

Respuesta :

He has 60 pounds that cost x cents/pound
He has 40 pounds that cost 75 cents/pound
He wants to sell 100 pounds for 66 cents a pound.

The equation looks like this.
40*75 + 60*x = 100*66 
3000 + 60x = 6600 Subtract 3000 from both sides.
60x = 6600 - 3000
60x = 3600 Divide by 60
x = 3600/60
x = 60

He needs to mix 60 pounds of 60 cent nuts

60 cents a pounds is needed.

From the question, we are given that:

  • 100 one pound of nut to sell for 66 percent a jar
  • 40 pound of nuts worth 75 cents a pound

Since the question says he plans to use 40 pounds and he wants to make up 100 pounds jar of nut, therefore you should know that 60 pounds of the nuts is needed.

Further Explanation

Let Y be the price of 60 pounds of nuts

Therefore, the equations should as follows:

(40 x 75) + (60 x y) = 66 x 100

= 3000 + 60y = 6600

60y = 6600 – 3000

60y = 3600 (divide both side by 60)

60y/60 = 3600/60 (60 cross out 60)

Y = 3600/60

Y = 60  

Therefore, 60 cents a pounds is needed.

LEARN MORE:

  • A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. https://brainly.com/question/8565795
  • A grocer mixed nuts worth 80 cents per pound with nuts worth 50 cents per pound. https://brainly.com/question/8080590

KEYWORDS:

  • 66 cents jar
  • 40 pounds of nut
  • 100 one-pound
  • 60 cents
  • 75 cents a pound