Difference between revisions of "2020 AMC 8 Problems/Problem 2"
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==Problem== | ==Problem== | ||
| − | Four friends do yardwork for their neighbors over the weekend, earning <math>\$15, \$20, \$25,</math> and <math>\$40,</math> respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned <math>\$40</math> give to the others? | + | Four friends do yardwork for their neighbors over the weekend, earning <math>\$15, \$20, \$25,</math> and <math>\$40,</math> respectively. They decide to split their earnings equally among themselves. In total, how much will the friend who earned <math>\$40</math> give to the others? |
<math>\textbf{(A) }\$5 \qquad \textbf{(B) }\$10 \qquad \textbf{(C) }\$15 \qquad \textbf{(D) }\$20 \qquad \textbf{(E) }\$25</math> | <math>\textbf{(A) }\$5 \qquad \textbf{(B) }\$10 \qquad \textbf{(C) }\$15 \qquad \textbf{(D) }\$20 \qquad \textbf{(E) }\$25</math> | ||
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==Solution== | ==Solution== | ||
The friends earn <math>\$\left(15+20+25+40\right)=\$100</math> in total. Since they decided to split their earnings equally, it follows that each person will get <math>\$\left(\frac{100}{4}\right)=\$25</math>. Since the friend who earned <math>\$40</math> will need to leave with <math>\$25</math>, he will have to give <math>\$\left(40-25\right)=\boxed{\textbf{(C) }\$15}</math> to the others. | The friends earn <math>\$\left(15+20+25+40\right)=\$100</math> in total. Since they decided to split their earnings equally, it follows that each person will get <math>\$\left(\frac{100}{4}\right)=\$25</math>. Since the friend who earned <math>\$40</math> will need to leave with <math>\$25</math>, he will have to give <math>\$\left(40-25\right)=\boxed{\textbf{(C) }\$15}</math> to the others. | ||
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| + | ==Video Solution by NiuniuMaths (Easy to understand!)== | ||
| + | https://www.youtube.com/watch?v=8hgK6rESdek&t=9s | ||
| + | |||
| + | ~NiuniuMaths | ||
| + | |||
| + | |||
| + | ==Video Solution by Math-X (First understand the problem!!!)== | ||
| + | https://youtu.be/UnVo6jZ3Wnk?si=UKNnVW0qEuIdyt8u&t=229 | ||
| + | |||
| + | ~Math-X | ||
| + | |||
| + | ==Video Solution (🚀Just 1 min🚀)== | ||
| + | https://youtu.be/CC5jRJ95QB0 | ||
| + | |||
| + | ~Education, the Study of Everything | ||
==Video Solution by WhyMath== | ==Video Solution by WhyMath== | ||
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~savannahsolver | ~savannahsolver | ||
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| + | ==Video Solution by The Learning Royal== | ||
| + | https://youtu.be/eSxzI8P9_h8 | ||
| + | |||
| + | ~The Learning Royal | ||
| + | |||
| + | ==Video Solution by Interstigation== | ||
| + | https://youtu.be/YnwkBZTv5Fw?t=62 | ||
| + | |||
| + | ~Interstigation | ||
==Video Solution by North America Math Contest Go Go Go== | ==Video Solution by North America Math Contest Go Go Go== | ||
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~North America Math Contest Go Go Go | ~North America Math Contest Go Go Go | ||
| − | ==Video Solution== | + | ==Video Solution by STEMbreezy== |
| − | https://youtu.be/ | + | https://youtu.be/L_vDc-i585o?list=PLFcinOE4FNL0TkI-_yKVEYyA_QCS9mBNS&t=37 |
| − | + | ~STEMbreezy | |
| − | |||
| − | |||
| − | ~ | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2020|num-b=1|num-a=3}} | {{AMC8 box|year=2020|num-b=1|num-a=3}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Latest revision as of 06:12, 24 January 2024
Contents
- 1 Problem
- 2 Solution
- 3 Video Solution by NiuniuMaths (Easy to understand!)
- 4 Video Solution by Math-X (First understand the problem!!!)
- 5 Video Solution (🚀Just 1 min🚀)
- 6 Video Solution by WhyMath
- 7 Video Solution by The Learning Royal
- 8 Video Solution by Interstigation
- 9 Video Solution by North America Math Contest Go Go Go
- 10 Video Solution by STEMbreezy
- 11 See Also
Problem
Four friends do yardwork for their neighbors over the weekend, earning 
and 
respectively. They decide to split their earnings equally among themselves. In total, how much will the friend who earned 
give to the others?
Solution
The friends earn 
in total. Since they decided to split their earnings equally, it follows that each person will get 
. Since the friend who earned will need to leave with 
, he will have to give 
to the others.
Video Solution by NiuniuMaths (Easy to understand!)
https://www.youtube.com/watch?v=8hgK6rESdek&t=9s
~NiuniuMaths
Video Solution by Math-X (First understand the problem!!!)
https://youtu.be/UnVo6jZ3Wnk?si=UKNnVW0qEuIdyt8u&t=229
~Math-X
Video Solution (🚀Just 1 min🚀)
~Education, the Study of Everything
Video Solution by WhyMath
~savannahsolver
Video Solution by The Learning Royal
~The Learning Royal
Video Solution by Interstigation
https://youtu.be/YnwkBZTv5Fw?t=62
~Interstigation
Video Solution by North America Math Contest Go Go Go
https://www.youtube.com/watch?v=ZwfPEYd55NQ
~North America Math Contest Go Go Go
Video Solution by STEMbreezy
https://youtu.be/L_vDc-i585o?list=PLFcinOE4FNL0TkI-_yKVEYyA_QCS9mBNS&t=37
~STEMbreezy
See Also
| 2020 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
