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6. As far as I am concerned the perfect peanut butter and jelly sandwich has a ratio of peanut butter to jelly of \( 5: 4 \). If I use 6 teaspoons of jelly, how much peanut butter should I use?

Ask by Harris Washington. in the United States
Mar 17,2025

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You should use 7.5 teaspoons of peanut butter.

Solución

To solve the problem, we need to maintain the ratio of peanut butter to jelly, which is given as \( 5:4 \). 1. **Identify the known values:** - The ratio of peanut butter (PB) to jelly (J) is \( \frac{PB}{J} = \frac{5}{4} \). - The amount of jelly used is \( J = 6 \) teaspoons. 2. **Set up the equation based on the ratio:** \[ \frac{PB}{6} = \frac{5}{4} \] 3. **Cross-multiply to solve for \( PB \):** \[ PB \cdot 4 = 5 \cdot 6 \] 4. **Calculate the right side:** \[ PB \cdot 4 = 30 \] 5. **Now, divide both sides by 4 to find \( PB \):** \[ PB = \frac{30}{4} = 7.5 \] Thus, you should use \( 7.5 \) teaspoons of peanut butter.

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Beyond the Answer

To achieve the perfect peanut butter and jelly sandwich ratio of \( 5: 4 \), we can set up a simple proportion based on your jelly usage. If you're using 6 teaspoons of jelly (which corresponds to the 4 parts), you would set up the equation as follows: \(\frac{5}{4} = \frac{x}{6}\), where \( x \) represents the amount of peanut butter in teaspoons. Cross-multiplying gives you \( 5 \times 6 = 4x \), which simplifies to \( 30 = 4x \). Dividing both sides by 4 results in \( x = 7.5 \). So, you should use 7.5 teaspoons of peanut butter for that perfect balance! Now, let's think about the classic debate: crunchy vs. creamy peanut butter! Whether you’re a crunchy enthusiast or a creamy devotee, the ratio stays the same, making it a perfect base for customizing your sandwich. Add some sliced bananas or sprinkles of cinnamon to elevate your creation—making it not just delicious, but a fun twist on a timeless treat!

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