Answer :
To determine how many fluid ounces are in a bottle that holds 2 pints of lemonade, we need to follow a series of conversion steps using the given conversion facts.
1. Convert Pints to Cups:
We know from the conversion facts that [tex]\(1 \operatorname{pint}\ (pt) = 2 \operatorname{cups}\ (c)\)[/tex].
Given that the bottle holds 2 pints, we first convert pints into cups:
[tex]\[ 2 \operatorname{pints} \times \frac{2 \operatorname{cups}}{1 \operatorname{pint}} = 2 \times 2 = 4 \operatorname{cups} \][/tex]
So, 2 pints of lemonade are equivalent to 4 cups.
2. Convert Cups to Fluid Ounces:
Next, we use the conversion fact that [tex]\(1 \operatorname{cup}\ (c) = 8 \operatorname{fluid\ ounces}\ (fl\ oz)\)[/tex].
Now, we convert the 4 cups into fluid ounces:
[tex]\[ 4 \operatorname{cups} \times \frac{8 \operatorname{fluid\ ounces}}{1 \operatorname{cup}} = 4 \times 8 = 32 \operatorname{fluid\ ounces} \][/tex]
So, 4 cups of lemonade are equivalent to 32 fluid ounces.
Therefore, a bottle that holds 2 pints of lemonade contains [tex]\( 32 \operatorname{fluid\ ounces}\)[/tex].
1. Convert Pints to Cups:
We know from the conversion facts that [tex]\(1 \operatorname{pint}\ (pt) = 2 \operatorname{cups}\ (c)\)[/tex].
Given that the bottle holds 2 pints, we first convert pints into cups:
[tex]\[ 2 \operatorname{pints} \times \frac{2 \operatorname{cups}}{1 \operatorname{pint}} = 2 \times 2 = 4 \operatorname{cups} \][/tex]
So, 2 pints of lemonade are equivalent to 4 cups.
2. Convert Cups to Fluid Ounces:
Next, we use the conversion fact that [tex]\(1 \operatorname{cup}\ (c) = 8 \operatorname{fluid\ ounces}\ (fl\ oz)\)[/tex].
Now, we convert the 4 cups into fluid ounces:
[tex]\[ 4 \operatorname{cups} \times \frac{8 \operatorname{fluid\ ounces}}{1 \operatorname{cup}} = 4 \times 8 = 32 \operatorname{fluid\ ounces} \][/tex]
So, 4 cups of lemonade are equivalent to 32 fluid ounces.
Therefore, a bottle that holds 2 pints of lemonade contains [tex]\( 32 \operatorname{fluid\ ounces}\)[/tex].
