Math CentralQuandaries & Queries


Question from sd:

Peter spent $\$30$ on pizza and 3/4 of the remainder on drinks. He has 2/9 of the original amount left. How much had he at first?

Suppose Peter started with $\$x.$ How much remained after buying the pizza? How much did he spend on drinks? What is the total that he spent on pizza and drinks? This is $1 - \frac29 = \frac79$ of the original amount. Solve for $x.$ Check your answer.


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