Question

Find the unit price for each option shown below. Round to the nearest cent when necessary. Option I: 10 candy bars for $6.75 Option II: 12 candy bars for $7.25 Which option is the better buy.

Answer 1

Option I: 10 candy bars for $6.75 

6.75/10 = 0.68 

Option II: 12 candy bars for $7.25 

7.25 / 12 = 0.60 

Answer 2

For finding the unit price, we find what is the price for 1 quantity of that given thing.

The unit price for given options are:

For option 1: 1 candy bars for $0.675

For option 2: 1 candy bar for $0.60417 approx.

How to find the unit price?

Unit price here refers to the price of a unit quantity. Unit refers to a single thing. For candy bars, the unit quantity would be single candy bar. And the unit price would be price for single candy bar.

Using above definition, and equating amount with price

For option 1:

$10 \: candy \: bars = \ 6.25\\\\\text{Dividing by 10 on both sides to make unit candy bar}\\\\\dfrac{10}{10} \: candy \: bars = \ \dfrac{6.25}{10}\\\\1 \: candy \: bar = \ 0.675$

Similarly, we have

For option 2:

$12 \: candy \: bars = \ 7.25\\\\\text{Dividing by 12 on both sides to make unit candy bar}\\\\\dfrac{12}{12} \: candy \: bars = \ \dfrac{7.25}{12}\\\\1 \: candy \: bar \approx\ 0.60417$

Thus,

The unit price for given options are:

For option 1: 1 candy bars for $0.675

For option 2: 1 candy bar for $0.60417 approx.

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