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A candy maker has 60 pounds of candy that sells for $1.50/lb which is consisted of jellybeans and gumdrops. If Jellybeans sell for $1.20/lb and gumdrops sell for $2.00/lb, how many pounds of gumdrops are there in the mixture?

Respuesta :

Answer:

x=22.5 lb

Step-by-step explanation:

You have to do the bucket method

x=Gumdrops

$1.20+$2.00=$1.50

60-x  +x  = 60 lb

(60-x)*1.2+ 2*x=1.5*60

Solve for X

72-1.2x+2x=90

-72              -72

0-1.2x+2x=18

0.8x=18

x=22.5

The amount of pounds of gumdrops that are there in the mixture are; 22.5 pounds

Selling Price

Let x represent amount of Gumdrops

Since she has 60 pounds of candy, then;

amount of jellybean = (60 - x)

Now, Jellybeans sell for $1.20/lb and gumdrops sell for $2.00/lb. Thus;

1.2(60 - x) + 2x = 1.5(60)

72 - 1.2x + 2x = 90

Subtract 72 from both sides by subtraction property of equality to get;

0.8x = 18

Divide both sides by 0.8 by division property of equality to get;

x = 18/0.8

x = 22.5 pounds

In conclusion, there are 22.5 pounds of Gumdrops

Read more on Selling price at; https://brainly.com/question/19104371

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