To find out how much pineapple juice Bill needs, we start with the ratio of orange juice to pineapple juice, which is given as 4 to 3. This means that for every 4 parts of orange juice, there are 3 parts of pineapple juice.
Let’s denote the amount of pineapple juice needed as \( P \). Since we know Bill has 64 oz of orange juice, we can set up the relationship based on the ratio:
\[ \frac{\text{orange juice}}{\text{pineapple juice}} = \frac{4}{3} \]
Substituting the amount of orange juice:
\[ \frac{64}{P} = \frac{4}{3} \]
To solve for \( P \), we can cross-multiply:
\[ 64 \cdot 3 = 4 \cdot P \]
This simplifies to:
\[ 192 = 4P \]
Next, we divide both sides by 4:
\[ P = \frac{192}{4} = 48 \]
Thus, Bill needs 48 oz of pineapple juice.
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