Question

Rank the following quantities from least to greatest.A. 100 ounces B. 12 1/4 cupsC. 5 1/2 pintsD. 2 gallons

Answer 1

Question:

Rank the following quantities from least to greatest.



A. 100 ounces



B. 12 1/4 cups



C. 5 1/2 pints



D. 2 gallons

Solution:

The idea is to put everything in one unit. for example, we can choose ounces and convert all quantities to ounces. Then compare the values:

A. 100 ounces.

B: 12 1/4 cups:

`12\text{ }(1)/(4)\text{ cups = (12 + }(1)/(4))\text{ cups = }(49)/(4)\text{cups}`

Now, to convert it to ounces we do the following:

`(49)/(4)\text{cups ( }\frac{8\text{ ounces}}{1\text{ cup}}\text{ ) = 98 ounces}`

then

12 1/4 cups = 98 ounces.

C: 5 1/2 pints:

`5\text{ }(1)/(2)\text{ pints = (5 + }(1)/(2))\text{ pints = }(11)/(2)\text{ pints}`

Now, to convert it to ounces, we do the following:

`(11)/(2)pints\text{ ( }\frac{16\text{ounces}}{1\text{ pint}}\text{ ) = }88\text{ ounces}`

then

5 1/2 pints = 88 ounces.

D: 2 gallons:

to convert it to ounces, we do the following:

`2\text{ gallons (}\frac{128\text{ ounces}}{1\text{ gallon}}\text{) = 256 ounces}`

Then, we have the following values (in increasing order):

`88\text{ , }98\text{ , 100, 256}`

this is the solution.

That is:

C, B, A, D

​