?Victoria can decorate an order of cupcakes for a wedding in t hours, so in 1 hour she

Chapter 8, Problem 251

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Victoria can decorate an order of cupcakes for a wedding in t hours, so in 1 hour she can decorate \(\frac{1}{t}\) of the cupcakes. It would take her sister 3 hours longer to decorate the same order of cupcakes, so in 1 hour she can decorate \(\frac{1}{t+3}\) of the cupcakes.

(a) Find the fraction of the decorating job that Victoria and her sister, working together, would complete in one hour by adding the rational expressions \(\frac{1}{t}+\frac{1}{t+3}\).

(b) Evaluate your answer to part (a) when t = 5.

Text Transcription:

1/t

1/t+3

1/t + 1/t+3

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