Harper Dunn
04/10/2023 · Senior High School

Julie decides to use \( \frac{1}{3} \) of her gift budget to buy presents for her 4 nieces. She spends the same amount for each niece. How much of her budget does she spend for each niece?

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To solve this problem, we need to determine how much Julie spends on each niece. We know that she uses \( \frac{1}{3} \) of her gift budget for her nieces and that she spends the same amount on each of the 4 nieces. Let's denote her total gift budget as \( B \). Julie spends \( \frac{1}{3} \) of her budget on her nieces, so the amount spent on nieces is \( \frac{1}{3}B \). Since she spends the same amount on each of the 4 nieces, we can divide the total amount spent on nieces by 4 to find out how much she spends on each niece. The amount spent on each niece is: \[ \frac{\frac{1}{3}B}{4} \] To simplify this, we can multiply the numerator and the denominator by 3 to get rid of the fraction in the numerator: \[ \frac{3 \times \frac{1}{3}B}{3 \times 4} \] This simplifies to: \[ \frac{B}{12} \] So, Julie spends \( \frac{B}{12} \) of her budget on each niece. If we know the total budget \( B \), we can calculate the exact amount she spends on each niece.

Quick Answer

Julie spends \( \frac{B}{12} \) of her budget on each niece.
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