Question

One brand of orange juice is sold in four different sizes. The 8-ounce bottle costs $0.90. The 18-ounce bottle costs $1.50. The 48-ounce carton costs $2.50. The 64-ounce carton costs $3.75

Show work for each price per ounce. Which size is the cheapest?

Answer 1

The 48-ounce carton is the cheapest

Explanation:

The question gives us the prices of different sizes of bottles of orange juice. It then asks us to calculate the price per ounce for each size and to find which size is the cheapest.

In order to calculate the price per ounce for each size, we have to divide the price of each size by its size:

• 8-ounce bottle:
`\mathrm{(\$ 0.90)/(8 \ oz)}` = $0.113 / oz

• 18-ounce bottle:
`\mathrm{(\$ 1.50)/(18 \ oz)}` = $0.083 / oz

• 48-ounce bottle:
`\mathrm{(\$ 2.50)/(48 \ oz)}` = $0.052 / oz

• 64-ounce bottle:
`\mathrm{(\$ 3.75)/(64 \ oz)}` = $0.059/ oz

As we can see from the calculation above, the price per ounce of the 48-ounce carton is the lowest, at $0.052 / oz.