A field medical unit needs to resupply liquid surface disinfectant. The disinfectant is av… — Armed Services Vocational Aptitude Battery (ASVAB)

A field medical unit needs to resupply liquid surface disinfectant. The disinfectant is available in four different packaging options. Arrange the purchasing options in order from the lowest unit price (price per gallon) to the highest unit price.

1A pack of eight $1$ -pint bottles for $\$23.04$
2A twin-pack containing two $1$ -gallon jugs for $\$48.00$
3A $5$ -gallon drum for $\$128.00$
4A case of four $1$ -quart bottles for $\$28.16$

Cevap

The correct order from lowest to highest unit price is: the pack of eight 1-pint bottles (

\$23.04

/gal), the twin-pack of two 1-gallon jugs (

\$24.00

/gal), the 5-gallon drum (

\$25.60

/gal), and the case of four 1-quart bottles (

\$28.16

/gal).

By converting the capacity of each option to a common unit (gallons) and calculating the price per gallon, we can directly compare the unit costs. The

1

-pint bottles equate to

1

gallon for

\$23.04

. The

1

-gallon jugs cost

\$24.00

per gallon (

\$48.00 \div 2

). The

5

-gallon drum costs

\$25.60

per gallon (

\$128.00 \div 5

). The

1

-quart bottles equate to

1

gallon for

\$28.16

. Placing these calculated unit prices in ascending order provides the correct sequence.

Adım Adım Çözüm

Determine a common unit of measurement to compare all options.

The gallon is the most convenient common unit.

Converting all volumes to gallons allows for a direct dollar-to-dollar comparison of the unit prices.

Calculate the price per gallon for the

5

-gallon drum.

\$128.00 \div 5 \text{ gallons} = \$25.60

per gallon.

Dividing the total cost by the total volume yields the unit price.

Calculate the price per gallon for the case of

1

-quart bottles.

There are

4

quarts in a gallon, so four

1

-quart bottles equal exactly

1

gallon. The price is

\$28.16

per gallon.

Unit conversion is required before finding the price per gallon.

Calculate the price per gallon for the pack of

1

-pint bottles.

There are

2

pints in a quart and

4

quarts in a gallon, so there are

8

pints in a gallon. Eight

1

-pint bottles equal exactly

1

gallon. The price is

\$23.04

per gallon.

Unit conversion is required to establish the total volume in gallons.

Calculate the price per gallon for the twin-pack of

1

-gallon jugs.

\$48.00 \div 2 \text{ gallons} = \$24.00

per gallon.

Dividing the total cost by the total volume yields the unit price.

Compare the calculated prices per gallon and order them from lowest to highest.

\$23.04 < \$24.00 < \$25.60 < \$28.16

The question asks for the options to be arranged sequentially by increasing unit cost.

Anahtar Kavram

To compare the prices of items sold in different quantities and unit sizes, convert all volumes to a single common unit (such as gallons) and calculate the price per common unit for each option.

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

Bu konudan daha fazla soru