Difference between revisions of "2009 AMC 10A Problems/Problem 7"
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==Solution== | ==Solution== | ||
− | Rewording the question, basically, we are being asked "<math>2</math> is <math>40</math> | + | Rewording the question, basically, we are being asked "<math>2</math> is <math>40\%</math> less than what number?" |
− | If <math>x</math> represents the number we are looking for, then <math>40%</math> less than the number would be represented by <math>x-0.4x</math> or <math>0.6x</math>. | + | If <math>x</math> represents the number we are looking for, then <math>40\%</math> less than the number would be represented by <math>x-0.4x</math> or <math>0.6x</math>. |
Thus <math>0.6x=2</math>; solving for <math>x</math>, we get <math>x=\frac{10}{3}</math>, <math>\longrightarrow \fbox{C}</math> | Thus <math>0.6x=2</math>; solving for <math>x</math>, we get <math>x=\frac{10}{3}</math>, <math>\longrightarrow \fbox{C}</math> | ||
Latest revision as of 12:42, 18 April 2021
Problem
A carton contains milk that is % fat, an amount that is % less fat than the amount contained in a carton of whole milk. What is the percentage of fat in whole milk?
Solution
Rewording the question, basically, we are being asked " is less than what number?" If represents the number we are looking for, then less than the number would be represented by or . Thus ; solving for , we get ,
See also
2009 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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 AMC 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.