Goku wants to get over

Question

\[9000\] comments on his YouTube videos. He gets the same number of comments for each cat video that he uploads, and he gets the same number of comments for each dog video that he uploads.
Let
\[C\] represent the number of cat videos and
\[D\] represent the number of dog videos that Goku should upload to achieve his goal.
\[750C+450D > 9000\]
According to the inequality, how many comments does each cat video get, and how many comments does each dog video get?
Each cat video gets
comments, and each dog video gets
comments.
Can Goku achieve his goal by uploading
\[8\] cat videos and
\[7\] dog videos?
Choose 1 answer:
Choose 1 answer:
(Choice A) Yes
A
Yes
(Choice B) No
B
No

Answer 1

To solve the problem, we first interpret the given inequality:

\[ 750C + 450D > 9000 \]

Here, \(750\) is the number of comments for each cat video \(C\), and \(450\) is the number of comments for each dog video \(D\).

Next, we can check if Goku can achieve his goal by uploading \(8\) cat videos and \(7\) dog videos:

Substituting \(C = 8\) and \(D = 7\) into the inequality yields:

\[ 750(8) + 450(7) \]

Calculating \(750(8)\):

\[ 750 \times 8 = 6000 \]

Calculating \(450(7)\):

\[ 450 \times 7 = 3150 \]

Now, adding these two results together:

\[ 6000 + 3150 = 9150 \]

Now, we check the inequality:

\[ 9150 > 9000 \]

Since \(9150\) is greater than \(9000\), Goku does achieve his goal.

Therefore, the answer is:

(Choice A) Yes.