To understand what [tex]\( g \)[/tex] represents in the equation [tex]\( 53g = 424 \)[/tex], let's take a detailed look at the context and the structure of the equation.
1. Understand the Equation: The given equation is:
[tex]\[ 53g = 424 \][/tex]
2. Variables and Constants Identification:
- 53 represents the number of guests attending the party.
- 424 represents the total cost of the party.
3. Solving for [tex]\( g \)[/tex]:
- [tex]\( g \)[/tex] is the unknown we need to find. We can isolate [tex]\( g \)[/tex] by dividing both sides of the equation by 53:
[tex]\[
g = \frac{424}{53}
\][/tex]
4. Interpreting [tex]\( g \)[/tex]:
- Since 424 is the total cost and 53 is the number of guests, [tex]\( g \)[/tex] represents the amount of money each guest contributes to reach the total cost of 424.
Given 53 guests and a total cost of 424, we can determine [tex]\( g \)[/tex], which represents the cost per person to attend the party.
Thus, the correct interpretation is:
The cost per person to attend the party.
