donutkitty77
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please HELP MEEEEEE .A store owner wants to make a candy that sells for $1 per pound.he has 50 lb of sugar candies that cost $1.20 per pound.how many pounds of gummy candies that cost 80 cents per pound should he add.

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koryun327

Answer:

50 pounds

Step-by-step explanation:

we can use the equation           60+80/100x=1(x+50)

we get 80/100 x because the gummy candies are 80 cents or 80/100x

we get 60 from multiplying 1.20$ x 50 = 60

                                                    solve:

                        60+80/100x  =  x+50

                           60 = x-80/100x+50

                             60-50 = 20/100x

                              10 = 20/100x

                               x= 10 x 100/20 = 10x5= 50 pounds

Using proportions, it is found that he should add 50 pounds of gummy candies that cost 80 cents per pound.

What is a proportion?

A proportion is a fraction of a total amount.

This problem is organized as follows:

  • There is a total of 50 + x pounds.
  • Of those, 50 cost $1.2 per pound.
  • x cost $0.8 per pound.
  • The selling price is of $1.

Hence:

[tex]\frac{50}{50 + x}1.2 + \frac{x}{50+x}0.8 = 1[/tex]

[tex]\frac{60 + 0.8x}{50 + x} = 1[/tex]

[tex]50 + x = 60 + 0.8x[/tex]

[tex]0.2x = 10[/tex]

[tex]x = \frac{10}{0.2}[/tex]

[tex]x = 50[/tex]

He should add 50 pounds of gummy candies that cost 80 cents per pound.

More can be learned about proportions at https://brainly.com/question/24372153

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