AMC 8 Daily Practice Round 9

Complete problem set with solutions and individual problem pages

Problem 19 Hard

A pile of fruit has its water content decrease from 97\% to 96\% after being stored for a long period. By what percentage has the total weight of the fruit decreased?

  • A.

    1\%

  • B.

    10\%

  • C.

    15\%

  • D.

    20\%

  • E.

    25\%

Answer:E

Let the original total weight be 100a. Then, the weight of the non-water part is 100a \times (1 - 97\%) = 3a.

Now, with the water content at 96\%, the weight of the non-water part is 4\%, so the non-water weight becomes:

\frac{3a}{4\%} = 75a

Thus, the total weight decreased by:

\frac{100a - 75a}{100a} = 25\%

The answer is \text{E}.

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