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

(Created page with "==Problem== A jar contains <math>5</math> different colors of gumdrops. <math>30%</math> are blue, <math>20%</math> are brown, <math>15%</math> are red, <math>10%</math> are yell...")
 
(→‎Solution)
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==Solution==
 
==Solution==
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We do <math>100-30-20-15-10</math> to find the percent of gumdrops that are green. We find that <math>25%</math> of the gumdrops are green. That means there are <math>120</math> gumdrops. If we replace all blue gumdrops with green gumdrops, then <math>35%</math> of the jar's gumdrops are brown. <math>.35 \cdot 120=42 \Rightarrow \boxed{\textbf{(C)}\ 42}</math>
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We do <math>100-30-20-15-10</math> to find the percent of gumdrops that are green. We find that <math>25%</math> of the gumdrops are green. That means there are <math>120</math> gumdrops. If we replace all blue gumdrops with green gumdrops, then <math>35%</math> of the jar's gumdrops are brown. <math>\dfrac{35}{100} \cdot 120=42 \Rightarrow \boxed{\textbf{(C)}\ 42}</math>
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2011|num-b=14|num-a=16}}
 
{{AMC8 box|year=2011|num-b=14|num-a=16}}

Revision as of 19:51, 4 November 2012

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

2011 AMC 8 (Problems • Answer Key • Resources)
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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