Question

How many ounces are in one and a half quarts?

Answer 1

Hint: Here, we will use the concept of conversion of units. Both quarts and ounces are units of weights. We will convert the given quantity from one unit to another unit by multiplying the converting factor to it.

Complete Step by Step Solution:
We are given that one and a half quarts have to be converted to Ounces.
We know that the given amount is a dimension representing the unit rates for liquid measurement.
We know that 1 Quarts is equal to 32 Ounces i.e., 1 Quarts \[ = \] 32 Ounces
The capacity of liquid in ounces (\[{c_{\left( {oz} \right)}}\]) is equal to 32 times the capacity of liquid in (\[{c_{\left( {quart} \right)}}\]).
Now, we will convert the units of liquid measurement from quarts to ounces by multiplying by 32.
\[{c_{\left( {oz} \right)}} = {c_{\left( {quart} \right)}} \times 32\]
Substituting \[{c_{\left( {quart} \right)}} = 1\dfrac{1}{2}\] in above equation, we get
\[ \Rightarrow {c_{\left( {oz} \right)}} = 1\dfrac{1}{2} \times 32\]
Now, we will convert the mixed fraction into an improper fraction. Therefore, we get
\[ \Rightarrow {c_{\left( {oz} \right)}} = \dfrac{{1 \times 2 + 1}}{2} \times 32\]
\[ \Rightarrow {c_{\left( {oz} \right)}} = \dfrac{3}{2} \times 32\]
Multiplying the terms, we get
\[ \Rightarrow {c_{\left( {oz} \right)}} = 48\]

Therefore, the capacity of the liquid is 48 ounces for the given one and a half quarts.

Note:
We should also remember that Ounce is defined as a unit of weight which is used to measure a very small amount of something. We should note that Ounce is a unit which is used to measure both the solid and liquid. A quart is a unit used to measure the liquid. Fluid ounce, cups, pints, quarts and gallon are the units of measuring liquid from the smaller amount to the larger amount. This measurement is used to find the capacity of liquid. These units should be kept in mind while finding the ratios and proportion of similar quantities.