A cafeteria chef is purchasing black pepper. A 4-ounce jar of black pepper costs \8.00. A … — Armed Services Vocational Aptitude Battery (ASVAB)

A cafeteria chef is purchasing black pepper. A $4$ -ounce jar of black pepper costs $\$8.00$ . A $1$ -pound container of the same black pepper costs $\$16.00$ . How much money is saved per ounce by purchasing the $1$ -pound container instead of the $4$ -ounce jar?

A
\$1.90
B
\$14.00
\$1.00Answer
D
\$0.50

Answer

The correct answer is

\$1.00

saved per ounce.

The unit price of the

4

-ounce jar is calculated by dividing its cost by its size:

\$8.00 \div 4 \text{ ounces} = \$2.00

per ounce. Next, convert the

1

-pound container to ounces, knowing that

1 \text{ pound} = 16 \text{ ounces}

. The unit price of the

1

-pound container is

\$16.00 \div 16 \text{ ounces} = \$1.00

per ounce. The savings per ounce is found by subtracting the lower unit price from the higher unit price:

\$2.00 - \$1.00 = \$1.00

Step-by-Step Solution

Calculate the price per ounce for the

4

-ounce jar.

\$8.00 \div 4 = \$2.00

per ounce

To compare prices, we need the unit price of the first option.

Convert the weight of the

1

-pound container into ounces.

$1 \text{ pound} = 16 \text{ ounces}

Unit prices must be in the same measurement unit (ounces) to be compared.

Calculate the price per ounce for the

1

-pound container.

\$16.00 \div 16 = \$1.00

per ounce

This establishes the unit price of the second option for comparison.

Subtract the lower unit price from the higher unit price to find the savings.

\$2.00 - \$1.00 = \$1.00

per ounce

The question asks for the exact amount of money saved per ounce.

Key Concept

Comparing unit prices requires converting different units of measurement into a common unit (like ounces) before dividing cost by quantity.

Estimated Time:45s

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

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