To solve the problem, let's start with the given equation:
[tex]\[ 14t = 168 \][/tex]
This equation represents the total cost of a birthday party with 14 guests attending. We need to interpret what [tex]\( t \)[/tex] stands for in this context.
Here's a detailed step-by-step solution:
1. Understand the equation:
- The total cost of the party is [tex]\( 168 \)[/tex] units of currency.
- The equation divides this total cost equally among 14 guests.
2. Solve for [tex]\( t \)[/tex]:
- To find the value of [tex]\( t \)[/tex], we need to isolate [tex]\( t \)[/tex] on one side of the equation.
- The equation can be simplified by dividing both sides by 14:
[tex]\[ t = \frac{168}{14} \][/tex]
3. Simplify the equation:
- Simplifying the right side:
[tex]\[ t = 12 \][/tex]
So, [tex]\( t \)[/tex] equals 12.
4. Interpret what [tex]\( t \)[/tex] represents:
- Since [tex]\( t \)[/tex] is obtained by dividing the total cost by the number of guests, [tex]\( t \)[/tex] must represent the share of the total cost for each individual guest.
- Hence, [tex]\( t \)[/tex] represents the cost for each person attending the party.
Therefore, [tex]\( t \)[/tex] represents the cost for each person attending the party.
