Question

a certain shampoo is available in two sizes. a 13.5 ounce costs $2.19. a 29.2 ounce bottle costs $5.37. find the unit price for each size. then state which is the better buy based on the unit price. round to the nearest cent.

Answer 1

0.16 and 0.18

Explanation:

The one that is the better buy is 0.16

Answer 2

We can calculate the unit price of each option with the qoutient "price / volume". The one with the smaller unit price or price per unit of volume will be the better option.

The first option has a price of $2.19 and a volume of 13.5 oz, so we can calculate the unit price as:

`p_1=\frac{2.19\text{ \$}}{13.5\text{ oz}}\approx0.16\text{ \$/oz}`

The second option has a price of $5.37 and a volume of 29.2 oz, so the unit price is:

`p_2=\frac{5.37\text{ \$}}{29.2\text{ oz}}\approx0.18\text{ \$/oz}`

Answer:

The first option has a unit price of 0.16 $/oz while the second option has a unit price of 0.18 $/oz.

The first option is more economical in terms of price per volume, so it is the better option.