Difference between revisions of "2024 AMC 8 Problems/Problem 12"
Niuniumaths (talk | contribs) (→Video Solution 2 by SpreadTheMathLove) |
|||
Line 39: | Line 39: | ||
==Video Solution 2 by SpreadTheMathLove== | ==Video Solution 2 by SpreadTheMathLove== | ||
https://www.youtube.com/watch?v=RRTxlduaDs8 | https://www.youtube.com/watch?v=RRTxlduaDs8 | ||
+ | ==Video Solution by NiuniuMaths (Easy to understand!)== | ||
+ | https://www.youtube.com/watch?v=V-xN8Njd_Lc | ||
+ | |||
+ | ~NiuniuMaths | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2024|num-b=11|num-a=13}} | {{AMC8 box|year=2024|num-b=11|num-a=13}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 01:10, 27 January 2024
Contents
[hide]Problem
Rohan keeps a total of 90 guppies in 4 fish tanks.
- There is 1 more guppy in the 2nd tank than in the 1st tank.
- There are 2 more guppies in the 3rd tank than in the 2nd tank.
- There are 3 more guppies in the 4th tank than in the 3rd tank.
How many guppies are in the 4th tank?
Solution 1
Let denote the number of guppies in the first tank.
Then, we have the following for the number of guppies in the rest of the tanks:
- the number of guppies in the second tank
- the number of guppies in the third tank
- the number of guppies in the fourth tank
The number of guppies in all of the tanks combined is 90, so we can write the equation
.
Simplifying the equation gives
.
Solving the resulting equation gives , so the number of guppies in the fourth tank is .
Therefore, the correct answer is .
- C. Ren, Thomas Grover Middle School ~andliu766 (Minor edits)
Video Solution 1 (easy to digest) by Power Solve
https://youtu.be/2UIVXOB4f0o?si=e1Q2EbdEfPB_Q5Ql&t=66
Video Solution 2 by SpreadTheMathLove
https://www.youtube.com/watch?v=RRTxlduaDs8
Video Solution by NiuniuMaths (Easy to understand!)
https://www.youtube.com/watch?v=V-xN8Njd_Lc
~NiuniuMaths
See Also
2024 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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.