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Question
a jewelry store recently sold 24 bracelets and 28 other pieces of jewelry. based on past data, how many of the next 65 pieces of jewelry sold should you expect to be bracelets? bracelets
Step1: Calculate total past sales
First, find the total number of jewelry pieces sold in the past. That is the sum of bracelets and other jewelry. So, \(24 + 28 = 52\) pieces in total.
Step2: Find the proportion of bracelets
The proportion of bracelets in past sales is the number of bracelets divided by total past sales. So, \(\frac{24}{52}\). We can simplify this fraction: \(\frac{24\div4}{52\div4}=\frac{6}{13}\).
Step3: Calculate expected bracelets in next sales
To find the expected number of bracelets in the next 65 pieces, we multiply the proportion of bracelets by 65. So, \(\frac{6}{13}\times65\). Since \(65\div13 = 5\), then \(6\times5 = 30\).
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