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Ratio: \( \frac{1}{4} \), Five of every six gifts were wrapped in blue paper. If there are 25 gifts wrapped in blue paper, how many gifts are there altogether?

Ask by Mcfarlane Bright. in the United States
Mar 09,2025

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Answer

There are 30 gifts altogether.

Solution

Given that five out of every six gifts were wrapped in blue paper, we can set up a ratio to represent the number of gifts wrapped in blue paper to the total number of gifts. Let's denote the total number of gifts as \( x \). The ratio of gifts wrapped in blue paper to the total number of gifts is \( \frac{5}{6} \). We are also given that there are 25 gifts wrapped in blue paper. We can set up the equation based on the ratio: \[ \frac{5}{6} = \frac{25}{x} \] Now, we can solve for \( x \) to find the total number of gifts. Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{5}{6}=\frac{25}{x}\) - step1: Find the domain: \(\frac{5}{6}=\frac{25}{x},x\neq 0\) - step2: Swap the sides: \(\frac{25}{x}=\frac{5}{6}\) - step3: Rewrite the expression: \(x=\frac{25\times 6}{5}\) - step4: Divide the terms: \(x=30\) - step5: Check if the solution is in the defined range: \(x=30,x\neq 0\) - step6: Find the intersection: \(x=30\) The total number of gifts is 30.

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Bonus Knowledge

To find the total number of gifts, we know that five out of every six gifts are wrapped in blue paper. If there are 25 gifts wrapped in blue, we can set up the equation: Let \( x \) represent the total number of gifts. The ratio of gifts wrapped in blue to the total gifts can be expressed as: \[ \frac{5}{6}x = 25 \] To find \( x \), we multiply both sides by \( \frac{6}{5} \): \[ x = 25 \times \frac{6}{5} = 30 \] So, there are a total of 30 gifts altogether. Now, let's add some tasty historical tidbits: gift wrapping has a delightful history! Originating as early as ancient China and Japan, where gifts were wrapped in silk, it evolved over the centuries. In the 19th century, the practice expanded in the West with elaborate papers and ribbons that conveyed thoughtfulness and care infused into every wrapped gift. As gifts continue to embody appreciation, think about reusing wrapping materials! Wrapping gifts in fabric or repurposed paper saves money and helps the planet. It’s a fun challenge to add creativity to your gift-giving experience while being eco-friendly, sparking joy in both the gift and its presentation!

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