Difference between revisions of "2007 AMC 8 Problems/Problem 17"
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<math>\mathrm{(A)}\ 25 \qquad \mathrm{(B)}\ 35 \qquad \mathrm{(C)}\ 40 \qquad \mathrm{(D)}\ 45 \qquad \mathrm{(E)}\ 50</math> | <math>\mathrm{(A)}\ 25 \qquad \mathrm{(B)}\ 35 \qquad \mathrm{(C)}\ 40 \qquad \mathrm{(D)}\ 45 \qquad \mathrm{(E)}\ 50</math> | ||
| + | ==Solution== | ||
| + | Since <math>30\%</math> of the original <math>30</math> liters of paint was yellow, and 5 liters of yellow paint were added to make the new mixture, there are <math>9+5=14</math> liters of yellow tint in the new mixture. Since only 5 liters of paint were added to the original 30, there are a total of 35 liters of paint in the new mixture. This gives <math>40\%</math> of yellow tint in the new mixture, which is <math>\boxed{\textbf{(C) 40}\6}</math>. | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2007|num-b=16|num-a=18}} | {{AMC8 box|year=2007|num-b=16|num-a=18}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 18:02, 26 July 2013
Problem
A mixture of 
liters of paint is 
red tint, 
yellow
tint and 
water. Five liters of yellow tint are added to
the original mixture. What is the percent of yellow tint
in the new mixture?
Solution
Since of the original liters of paint was yellow, and 5 liters of yellow paint were added to make the new mixture, there are 
liters of yellow tint in the new mixture. Since only 5 liters of paint were added to the original 30, there are a total of 35 liters of paint in the new mixture. This gives 
of yellow tint in the new mixture, which is $\boxed{\textbf{(C) 40}\6}$ (Error compiling LaTeX. Unknown error_msg).
See Also
| 2007 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 16 |
Followed by Problem 18 | |
| 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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