A retirement party has 53 guests attending. If the equation [tex]53g = 424[/tex] represents the total cost of the party, which of the following best interprets what [tex]g[/tex] represents?

A. The cost of the cake at the party
B. The cost per person to attend the party
C. The total cost for the party
D. The total number of guests at the party



Answer :

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.