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12. ALGEBRA Sherri Cole found that the 12-ounce can of frozen orange juice
sells for $0.16 less than the 16-ounce can, which is $0.68 less than the
24-ounce can. If the unit price of the 24-ounce can is $0.005 less than the
unit price of the 12-ounce can, which of the three is the best buy based
on the lowest unit price?

Sagot :

980074972

Answer:

96 = x

Step-by-step explanation:

I'm going to use cents instead of dollars because I find decimals and fractions to be cumbersome. I assume you meant $.005 instead of 4.005.

Let x denote the price (in cents) of the 12-ounce can. Then the price of the 16-ounce can is (x + 16) cents, and the price of the 24-ounce can is ((x + 16) + 68), or (x + 84) cents.

The unit price (cents per ounce) of the 12-oz can is x/12

The unit price of the 16-oz can is (x + 16)/16

The unit price of the 24-oz can is (x + 84)/24

You are told that, in terms of x,

(x + 84)/24 = x/12 - 0.5

Multiply both sides by 24:

x + 84 = 2x - 12

Solve for x:

96 = x

So the unit prices (in cents per ounce) are:

12 oz: 96/12 = 8 cents/oz

16 oz: 112/16 = 7 cents/oz

24 oz: 180/24 = 7.5 cents/oz

So the 16 ounce can is the best buy based on lowest unit price.

lhmarianateixeira

In this exercise we have to use the knowledge of finance to calculate the best price to be offered, in this way:

[tex]12 oz: 96/12 = 8 cents/oz\\16 oz: 112/16 = 7 cents/oz\\24 oz: 180/24 = 7.5 cents/oz[/tex]

Some values ​​should be simplified as they were informed in the statement:

  • The unit price (cents per ounce) of the 12-oz can is x/12
  • The unit price of the 16-oz can is (x + 16)/16
  • The unit price of the 24-oz can is (x + 84)/24

So putting together an equation with these values ​​and terms informed we find that:

[tex](X + 84)/24 = X/12 - 0.5\\X + 84 = 2X - 12\\X=96[/tex]

So with the value of X found it is only necessary to use the previous equations and replace this value.

See more about finances at brainly.com/question/10024737

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