One half of the birds at a pet store were yellow. Tara buys one. Then 1/3 of the birds left are yellow. How many yellow birds were left at the store before Tara bought them?

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Mathematics

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One half of the birds at a pet store were yellow. Tara buys one. Then 1/3 of the birds left are yellow. How many yellow birds were left at the store before Tara bought them?

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Kate200468id Kate200468id · Answer 1

Kate200468id Kate200468id

[tex]x-the\ number\ of\ yellow\ birds\ at\ the\ beginning,\ \ \ x>0\\ \\ \frac{x-1}{2x} = \frac{1}{3} \\ \\3\cdot(x-1)=2x\cdot1\\ \\3x-3=2x\ \ \ \Rightarrow\ \ \ 3x-2x=3\ \ \ \Rightarrow\ \ \ x=3\\ \\ Ans.\ the\ number\ of\ yellow\ birds\ at\ the\ beginning\ is\ 3[/tex]

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