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A store sells packages of candy for $52. Each packet cost $4 to make and contains $48 flavored gum and candy.Rolando knows how much each candy cost per pound and knows how many pounds of each candy are packed in each package. Let x represent the amount of gum per pound in each package and y represent the amount of candy per pound in each package.Use the following equation to complete the questions: x+y=180.75x+5.25y+4=52how many pounds of candy are in a box?what is the price per pound for a piece of candy?what does the term 0.75x represents in the second equation?

Sagot :

Let:

x be the amount of gum in pounds in each package.

y be the amount of candy in pounds in each package.

Each box or package cost $52: a packaging that cost $4 and $48 in gum and candy.

The amount of candy (in pounds) in each package is shown in the equation:

[tex]x+y=18[/tex]

As this is the sum of the amount of gum x and the amount of candy y, we can say that each package has 18 pounds of candy and gum.

Then, the following equation,

[tex]0.75x+5.25y+4=52[/tex]

seems to be the total cost, as it results in 52, that is the total cost of the box. There is also a term with value 4, that corresponds to the packaginf cost.

The other terms represent the cost of the gum (0.75 * x) and the candy (5.25 * y).

We can read from this equation that the price per pound of the gum is 0.75, because it is the factor that multiply the amount x to calculate the cost.

In the same way, we can say that 5.25 is the price per pound of the candy, as it is the factor that multiplies y.

Answers

How many pounds of candy are in a box? 18 pounds

What is the price per pound for a piece of candy? 5.25 $/lb

What does the term 0.75x represents in the second equation?​ The second equation represents the sum of all the costs (gum, candy and packaging cost). The term 0.75x represents the cost of the gum, as it multiplies the price of the gum per pound (0.74 $/lb) and the amount of gum (x, in lb/package).

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