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A baby's \( t \)-shirt requires \( \frac{5}{6} \) yards of fabric. How many \( t \)-shirts can be made from 50 yards?

Ask by Weaver Black. in the United States
Jan 22,2025

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Answer

You can make 60 baby t-shirts from 50 yards of fabric.

Solution

To determine how many baby t-shirts can be made from 50 yards of fabric when each t-shirt requires \(\frac{5}{6}\) yards, you can use the following calculation: \[ \text{Number of t-shirts} = \frac{\text{Total fabric}}{\text{Fabric per t-shirt}} = \frac{50 \text{ yards}}{\frac{5}{6} \text{ yards per t-shirt}} \] To divide by a fraction, multiply by its reciprocal: \[ \frac{50}{\frac{5}{6}} = 50 \times \frac{6}{5} = 60 \] **Therefore, you can make 60 baby t-shirts from 50 yards of fabric.**

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To determine how many baby t-shirts can be made from 50 yards of fabric, you simply need to divide the total fabric available by the amount of fabric needed for each t-shirt. So, you calculate: \[ \text{Number of t-shirts} = \frac{50 \text{ yards}}{\frac{5}{6} \text{ yards/t-shirt}} = 50 \times \frac{6}{5} = 60 \] This means you can make 60 baby t-shirts from 50 yards of fabric! Creating clothing from fabric follows long traditions of craftsmanship that date back thousands of years. The invention of sewing needles and weaving techniques has evolved over time, enabling people to create not just functional garments but also forms of artistic expression in textiles. Today, t-shirt making is not just a fabric craft; it’s a multi-billion dollar industry showcasing creative designs globally! In exploring the practical application of calculations like these, you'll find them in real-life situations such as running a business or crafting projects. For example, if you're planning to produce items on a larger scale, understanding unit rates allows you to optimize your material usage and minimize waste, thus boosting efficiency and profitability. It’s essential to be meticulous in your calculations to ensure your resources match your production goals!

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