Difference between revisions of "2024 AMC 8 Problems/Problem 12"
(→Video Solution 1 (easy to digest) by Power Solve) |
(→Solution 1) |
||
Line 11: | Line 11: | ||
==Solution 1== | ==Solution 1== | ||
− | Let <math>x</math> | + | Let <math>x</math> 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: | Then, we have the following for the number of guppies in the rest of the tanks: | ||
Line 29: | Line 29: | ||
Solving the resulting equation gives <math>x = 20</math>, so the number of guppies in the fourth tank is <math>20 + 1 + 2 + 3 = 26</math>. | Solving the resulting equation gives <math>x = 20</math>, so the number of guppies in the fourth tank is <math>20 + 1 + 2 + 3 = 26</math>. | ||
− | + | Therefore, the correct answer is <math>\textbf{(E)}\ 26</math>. | |
- C. Ren, Thomas Grover Middle School | - C. Ren, Thomas Grover Middle School |
Revision as of 16:07, 26 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
Video Solution 1 (easy to digest) by Power Solve
https://youtu.be/2UIVXOB4f0o?si=e1Q2EbdEfPB_Q5Ql&t=66