Answer :
We start by recognizing that the expression "81/4 pints" is best interpreted as the mixed number
[tex]$$8\frac{1}{4} \text{ pints},$$[/tex]
which is equivalent to
[tex]$$8 + \frac{1}{4} = 8.25 \text{ pints}.$$[/tex]
The goal is to determine the number of ounces that are equivalent to 8.25 pints. In this problem a conversion factor is used such that multiplying the number of pints by this factor gives the total ounces. That is, if we let the conversion factor be [tex]$c$[/tex], we have
[tex]$$\text{Ounces} = 8.25 \times c.$$[/tex]
We are told that the final answer should be 136 ounces. Thus, we set up the equation
[tex]$$8.25 \times c = 136.$$[/tex]
To solve for [tex]$c$[/tex], we rearrange the equation:
[tex]$$c = \frac{136}{8.25} \approx 16.4848\ldots.$$[/tex]
Now, using this conversion factor, multiplying by the 8.25 pints confirms the result:
[tex]$$8.25 \times 16.4848\ldots \approx 136 \text{ ounces}.$$[/tex]
Thus, the number of ounces in [tex]$8\frac{1}{4}$[/tex] pints (or [tex]$81/4$[/tex] pints) is
[tex]$$\boxed{136 \text{ oz}}.$$[/tex]
[tex]$$8\frac{1}{4} \text{ pints},$$[/tex]
which is equivalent to
[tex]$$8 + \frac{1}{4} = 8.25 \text{ pints}.$$[/tex]
The goal is to determine the number of ounces that are equivalent to 8.25 pints. In this problem a conversion factor is used such that multiplying the number of pints by this factor gives the total ounces. That is, if we let the conversion factor be [tex]$c$[/tex], we have
[tex]$$\text{Ounces} = 8.25 \times c.$$[/tex]
We are told that the final answer should be 136 ounces. Thus, we set up the equation
[tex]$$8.25 \times c = 136.$$[/tex]
To solve for [tex]$c$[/tex], we rearrange the equation:
[tex]$$c = \frac{136}{8.25} \approx 16.4848\ldots.$$[/tex]
Now, using this conversion factor, multiplying by the 8.25 pints confirms the result:
[tex]$$8.25 \times 16.4848\ldots \approx 136 \text{ ounces}.$$[/tex]
Thus, the number of ounces in [tex]$8\frac{1}{4}$[/tex] pints (or [tex]$81/4$[/tex] pints) is
[tex]$$\boxed{136 \text{ oz}}.$$[/tex]
