Question

1. on tiktok, a video gets three times as many likes as comments, and together they total 96. find the amount of likes and the amount of comments the video receives.

Explanation:

Step1: Define variables

Let \( c \) be the number of comments. Then the number of likes \( l = 3c \).

Step2: Set up equation

The total of likes and comments is 96, so \( l + c = 96 \). Substitute \( l = 3c \) into the equation: \( 3c + c = 96 \).

Step3: Solve for \( c \)

Combine like terms: \( 4c = 96 \). Divide both sides by 4: \( c=\frac{96}{4}=24 \).

Step4: Find number of likes

Since \( l = 3c \), substitute \( c = 24 \): \( l = 3\times24 = 72 \).

Answer:

Number of likes: 72, Number of comments: 24