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Question
- winston won 3 races in 4 weeks. at that rate, how long will it take him to win 10 races?
Step1: Define the rate
The rate of winning races is 3 races per 4 weeks. Let \( x \) be the number of weeks to win 10 races. We can set up a proportion: \(\frac{3}{4}=\frac{10}{x}\)
Step2: Solve for \( x \)
Cross - multiply: \( 3x = 4\times10 \)
\( 3x=40 \)
Then, \( x=\frac{40}{3}\approx13.33 \) (or as a fraction \( x = 13\frac{1}{3} \))
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It will take \(\frac{40}{3}\) weeks (or approximately \( 13.33 \) weeks or \( 13\frac{1}{3} \) weeks) to win 10 races.