6. Write an equation to model the problem using a variable, then solve.
Six people went out to dinner, split the check, and each paid $18. How much was the check?



Answer :

Certainly! Let's break down the problem step-by-step.

1. Identify the known quantities:
- Number of people: 6
- Payment made by each person: [tex]$18 2. Set up a variable for the total check amount: - Let's denote the total check amount as \( T \). 3. Create the equation: - Since each of the 6 people paid $[/tex]18, the total check amount can be represented by the equation:
[tex]\[ T = 6 \times 18 \][/tex]

4. Solve the equation:
- Multiply the number of people by the payment per person to find the total check amount:
[tex]\[ T = 6 \times 18 = 108 \][/tex]

So, the total check amount is $108.