Difference between revisions of "2010 AMC 8 Problems/Problem 15"

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Revision as of 00:50, 5 July 2013

Problem

A jar contains $5$ different colors of gumdrops. $30%$ (Error compiling LaTeX. Unknown error_msg) are blue, $20%$ (Error compiling LaTeX. Unknown error_msg) are brown, $15%$ (Error compiling LaTeX. Unknown error_msg) are red, $10%$ (Error compiling LaTeX. Unknown error_msg) are yellow, and other $30$ gumdrops are green. If half of the blue gumdrops are replaced with brown gumdrops, how gumdrops will be brown?

$\textbf{(A)}\ 35\qquad\textbf{(B)}\ 36\qquad\textbf{(C)}\ 42\qquad\textbf{(D)}\ 48\qquad\textbf{(E)}\ 64$

Solution

We do $100-30-20-15-10$ to find the percent of gumdrops that are green. We find that $25%$ (Error compiling LaTeX. Unknown error_msg) of the gumdrops are green. That means there are $120$ gumdrops. If we replace all blue gumdrops with green gumdrops, then $35%$ (Error compiling LaTeX. Unknown error_msg) of the jar's gumdrops are brown. $\dfrac{35}{100} \cdot 120=42 \Rightarrow \boxed{\textbf{(C)}\ 42}$

See Also

2010 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 14
Followed by
Problem 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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