2020 AMC 12A Problems/Problem 1

Revision as of 09:33, 1 February 2020 by Awesome2.1 (talk | contribs) (Solution)

Problem

Carlos took $70\%$ of a whole pie. Maria took one third of the remainder. What portion of the whole pie was left?

$\textbf{(A)}\ 10\%\qquad\textbf{(B)}\ 15\%\qquad\textbf{(C)}\ 20\%\qquad\textbf{(D)}\ 30\%\qquad\textbf{(E)}\ 35\%$

Solution

If Carlos took 70% of the pie, (100 - 70) = 30% must be remaining. After Maria takes 1/3 of the remaining 30%, (1 - 1/3) = 2/3 is left.

Therefore:

(3 / 10) * (2 / 3) = (2 / 10) = 20%, which is answer choice

If anyone could add the latex to the numbers / expressions that would be really helpful!

-Contributed by Awesome2.1

See Also

2020 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
First Problem
Followed by
Problem 2
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All AMC 12 Problems and Solutions

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