Difference between revisions of "2020 AMC 10A Problems/Problem 1"
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Adding <math>\frac{3}{4}</math> to both sides, <math>x= \frac{5}{12} - \frac{1}{3} + \frac{3}{4} = \frac{5}{12} - \frac{4}{12} + \frac{9}{12}=\boxed{\textbf{(E) }\frac{5}{6}}</math>. | Adding <math>\frac{3}{4}</math> to both sides, <math>x= \frac{5}{12} - \frac{1}{3} + \frac{3}{4} = \frac{5}{12} - \frac{4}{12} + \frac{9}{12}=\boxed{\textbf{(E) }\frac{5}{6}}</math>. | ||
− | ==Video Solution== | + | ==Solution 2== |
− | https://youtu.be/ | + | Multiplying <math>12</math> on both sides gets us <math>12x-9=1 \Rightarrow 12x=10</math>, therefore <math>\boxed{x=\textbf{(E)}~\frac{5}{6}}</math>. |
+ | |||
+ | ==Video Solution 1== | ||
+ | Education, The Study of Everything | ||
+ | |||
+ | https://youtu.be/4lsmGWDYusk | ||
+ | ==Video Solution 2== | ||
~IceMatrix | ~IceMatrix | ||
+ | https://youtu.be/WUcbVNy2uv0 | ||
− | + | ==Video Solution 3== | |
https://www.youtube.com/watch?v=7-3sl1pSojc | https://www.youtube.com/watch?v=7-3sl1pSojc | ||
~bobthefam | ~bobthefam | ||
− | + | ==Video Solution 4== | |
https://youtu.be/OKoBg15l8ro | https://youtu.be/OKoBg15l8ro | ||
− | ~ | + | ~savannahsolve |
== See Also == | == See Also == |
Latest revision as of 17:04, 31 March 2021
Contents
Problem
What value of satisfies
Solution
Adding to both sides, .
Solution 2
Multiplying on both sides gets us , therefore .
Video Solution 1
Education, The Study of Everything
Video Solution 2
~IceMatrix https://youtu.be/WUcbVNy2uv0
Video Solution 3
https://www.youtube.com/watch?v=7-3sl1pSojc
~bobthefam
Video Solution 4
~savannahsolve
See Also
2020 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
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.