4) The school’s sports teams held a banquet. The teams were charged $125 for the rental of the hall, plus $12 for each meal served. The total bill was $545. How many people attended the banquet?
Write an equation you could use to solve the problem.
Solve the equation. Verify the solution.
for m meals, the bill is 125+12m
so, you need to solve
125+12m = 545
To solve the problem, we can set up an equation based on the given information. Let's assume "x" is the number of meals served at the banquet.
According to the problem, the teams were charged $125 for the rental of the hall, plus $12 for each meal served. So, the cost of meals is $12 multiplied by the number of meals served, which is 12x.
The total bill was $545, including the hall rental fee and the cost of meals. So, the equation becomes:
125 + 12x = 545
To solve this equation, we can follow these steps:
Step 1: Subtract 125 from both sides of the equation to isolate the term with "x".
125 + 12x - 125 = 545 - 125
12x = 420
Step 2: Divide both sides of the equation by 12 to solve for "x".
12x / 12 = 420 / 12
x = 35
Therefore, the number of meals served at the banquet is 35. To find the number of people attended, we can assume that each meal served corresponds to one person. So, the number of people attended the banquet is also 35.
To verify this solution, we can substitute the value of x back into the original equation and check if it holds true.
125 + 12(35) = 545
125 + 420 = 545
545 = 545
Since both sides of the equation are equal, it confirms that our solution is correct.