An online retailer sells two packages of protein bars.
 
 Package
10−pack of 2.1 ounce bars
12−pack of 1.4 ounce bars
 Cost ($)
15.37
15.35

 
Which package has the better price per bar?
 
The 10−pack costs $ per bar and the 12−pack costs $ per bar. The has the better price per bar.
 
Which package has the better price per ounce?
 
The cost per ounce of the 10−pack is $ and the cost per ounce of the 12−pack is $. The has the better price per ounce.
 
Which package do you think is a better buy? Complete the explanation.
 
Because I prefer the lower price per bar, I think that the -pack is the better buy.
Because I prefer the lower price per ounce, I think that the -pack is the better buy.
 

Respuesta :

In order to find the price per bar, we divide the price by the amount of bars.  For the first one:

15.37/10 = $1.54 per bar

The second package:

15.35/12 = $1.28 per bar.

The 10-pack costs $1.54 per bar and the 12-pack costs $1.28 per bar.  The 12-pack has the better price per bar.

Now, let's look at the price per ounce.  We do this in a similar way.  We find the total amount of ounces in the package, and divide the price by the number of ounces.

In the first package, we multiply 10*2.1=21.  We have 21 ounces in the first package.  Now we divide 15.37/21.  In the first package, we have 0.73 dollars per ounce.

Now, let's look at the second package.  We start by multiplying 1.4*12=16.8.  There are 16.8 ounces in the package.  Now, we divide 15.35/16.8=0.91.  So, in the second package, we have 0.91 dollars per ounce.

The cost per ounce of the 10-pack is $0.73 and the cost per ounce of the 12-pack is $0.91.  The first package has the better price per ounce.

The better explanation is the second one, because I prefer the lower price per ounce, I think that the 1st pack is the better buy.

The answer of the package related problems are required.

The 12 pack has a better price per bar.

The 10 pack has a better price per ounce.

Because I prefer the lower price per bar, I think that the 12-pack is the better buy.

Because I prefer the lower price per ounce, I think that the 10-pack is the better buy.

Cost of one bar of 10 pack bar is

[tex]\dfrac{15.37}{10}=\$1.537[/tex]

Cost of one bar of 12 pack bar is

[tex]\dfrac{15.35}{12}=\$1.28[/tex]

The 12 pack has a better price per bar.

Ounces of protein bars for the 10 pack is

[tex]10\times 2.1=21\ \text{ounces}[/tex]

Cost of 10 pack is $15.37

One ounce costs

[tex]\dfrac{15.37}{21}=\$0.73[/tex]

Ounces of protein bars for the 12 pack is

[tex]12\times 1.4=16.8\ \text{ounces}[/tex]

Cost of 12 pack is $15.35

One ounce costs

[tex]\dfrac{15.35}{16.8}=\$0.91[/tex]

The 10 pack has a better price per ounce.

Because I prefer the lower price per bar, I think that the 12-pack is the better buy.

Because I prefer the lower price per ounce, I think that the 10-pack is the better buy.

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